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3778874400 = 253527435231
BaseRepresentation
bin1110000100111101…
…0000110000100000
3100202100121201011010
43201033100300200
530214342440100
61422550220520
7162433621350
oct34117206040
910670551133
103778874400
11166a0922a4
12895654740
13482b7b872
1427bc32b60
15171b46750
hexe13d0c20

3778874400 has 288 divisors, whose sum is σ = 14387079168. Its totient is φ = 843494400.

The previous prime is 3778874399. The next prime is 3778874423. The reversal of 3778874400 is 44788773.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3778874400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719785 + ... + 725015.

It is an arithmetic number, because the mean of its divisors is an integer number (49955136).

Almost surely, 23778874400 is an apocalyptic number.

3778874400 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 3778874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193539584).

3778874400 is an abundant number, since it is smaller than the sum of its proper divisors (10608204768).

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

3778874400 is a wasteful number, since it uses less digits than its factorization.

3778874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 3778874400 is about 61472.5499715117. The cubic root of 3778874400 is about 1557.5935942698.

The spelling of 3778874400 in words is "three billion, seven hundred seventy-eight million, eight hundred seventy-four thousand, four hundred".