3785511312 has 240 divisors, whose sum is σ = 12307194432. Its totient is φ = 1073479680.

The previous prime is 3785511283. The next prime is 3785511313. The reversal of 3785511312 is 2131155873.

It is a happy number.

3785511312 is a `hidden beast` number, since 3 + 78 + 551 + 1 + 31 + 2 = 666.

It is a super-2 number, since 2×3785511312² = 28660191786559922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3785511313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6920223 + ... + 6920769.

Almost surely, 2^3785511312 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 3785511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153597216).

3785511312 is an abundant number, since it is smaller than the sum of its proper divisors (8521683120).

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

3785511312 is a wasteful number, since it uses less digits than its factorization.

3785511312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 3785511312 is about 61526.5090184711. The cubic root of 3785511312 is about 1558.5049384401.

The spelling of 3785511312 in words is "three billion, seven hundred eighty-five million, five hundred eleven thousand, three hundred twelve".