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3794999040 = 283657283
BaseRepresentation
bin1110001000110011…
…0001011100000000
3100210110221221000000
43202030301130000
530233004432130
61424324000000
7163020650100
oct34214613400
910713857000
103794999040
1116781a5a48
1289ab30000
13486306081
1428002d200
1517327e260
hexe2331700

3794999040 has 756 divisors, whose sum is σ = 16045248744. Its totient is φ = 856977408.

The previous prime is 3794999009. The next prime is 3794999041. The reversal of 3794999040 is 409994973.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3794999041) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722839 + ... + 45722921.

It is an arithmetic number, because the mean of its divisors is an integer number (21223874).

Almost surely, 23794999040 is an apocalyptic number.

3794999040 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 3794999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022624372).

3794999040 is an abundant number, since it is smaller than the sum of its proper divisors (12250249704).

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

3794999040 is an frugal number, since it uses more digits than its factorization.

3794999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3794999040 is about 61603.5635332892. The cubic root of 3794999040 is about 1559.8058930085.

The spelling of 3794999040 in words is "three billion, seven hundred ninety-four million, nine hundred ninety-nine thousand, forty".