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3780472320 = 29325316779
BaseRepresentation
bin1110000101010101…
…0110111000000000
3100202110121220002100
43201111112320000
530220300103240
61423044350400
7162453325122
oct34125267000
910673556070
103780472320
11166aa83899
128960a5400
134832bac91
1427c12b212
15171d5ee30
hexe1556e00

3780472320 has 480 divisors, whose sum is σ = 13890539520. Its totient is φ = 948879360.

The previous prime is 3780472279. The next prime is 3780472327. The reversal of 3780472320 is 232740873.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780472327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47854041 + ... + 47854119.

It is an arithmetic number, because the mean of its divisors is an integer number (28938624).

Almost surely, 23780472320 is an apocalyptic number.

3780472320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945269760).

3780472320 is an abundant number, since it is smaller than the sum of its proper divisors (10110067200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3780472320 is a wasteful number, since it uses less digits than its factorization.

3780472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3780472320 is about 61485.5456184622. The cubic root of 3780472320 is about 1557.8131093033.

It can be divided in two parts, 3780 and 472320, that added together give a square (476100 = 6902).

The spelling of 3780472320 in words is "three billion, seven hundred eighty million, four hundred seventy-two thousand, three hundred twenty".