3795457536 has 240 divisors, whose sum is σ = 12493825344. Its totient is φ = 1098842112.

The previous prime is 3795457531. The next prime is 3795457541. The reversal of 3795457536 is 6357545973.

3795457536 is a `hidden beast` number, since 3 + 7 + 9 + 54 + 57 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (3795457531) and next prime (3795457541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795457531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1016505 + ... + 1020231.

Almost surely, 2^3795457536 is an apocalyptic number.

3795457536 is a gapful number since it is divisible by the number (36) 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 3795457536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246912672).

3795457536 is an abundant number, since it is smaller than the sum of its proper divisors (8698367808).

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

3795457536 is a wasteful number, since it uses less digits than its factorization.

3795457536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3762 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 54.

The square root of 3795457536 is about 61607.2847640602. The cubic root of 3795457536 is about 1559.8687068991.

The spelling of 3795457536 in words is "three billion, seven hundred ninety-five million, four hundred fifty-seven thousand, five hundred thirty-six".