3735791136 has 576 divisors, whose sum is σ = 14161754880. Its totient is φ = 905748480.

The previous prime is 3735791119. The next prime is 3735791141. The reversal of 3735791136 is 6311975373.

3735791136 is a `hidden beast` number, since 3 + 73 + 579 + 1 + 1 + 3 + 6 = 666.

3735791136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3735791136² = 27912270823632340992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3735791091 and 3735791100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23794770 + ... + 23794926.

It is an arithmetic number, because the mean of its divisors is an integer number (24586380).

Almost surely, 2^3735791136 is an apocalyptic number.

3735791136 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 3735791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080877440).

3735791136 is an abundant number, since it is smaller than the sum of its proper divisors (10425963744).

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

3735791136 is a wasteful number, since it uses less digits than its factorization.

3735791136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The square root of 3735791136 is about 61121.1185761517. The cubic root of 3735791136 is about 1551.6515363557.

The spelling of 3735791136 in words is "three billion, seven hundred thirty-five million, seven hundred ninety-one thousand, one hundred thirty-six".