3785515272 has 192 divisors, whose sum is σ = 12813989760. Its totient is φ = 980812800.

The previous prime is 3785515267. The next prime is 3785515303. The reversal of 3785515272 is 2725155873.

3785515272 is a `hidden beast` number, since 3 + 78 + 5 + 51 + 527 + 2 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3664068 + ... + 3665100.

It is an arithmetic number, because the mean of its divisors is an integer number (66739530).

Almost surely, 2^3785515272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785515272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406994880).

3785515272 is an abundant number, since it is smaller than the sum of its proper divisors (9028474488).

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

3785515272 is a wasteful number, since it uses less digits than its factorization.

3785515272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1717 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 3785515272 is about 61526.5411997132. The cubic root of 3785515272 is about 1558.5054818874.

The spelling of 3785515272 in words is "three billion, seven hundred eighty-five million, five hundred fifteen thousand, two hundred seventy-two".