3787564160 has 64 divisors (see below), whose sum is σ = 9063101880. Its totient is φ = 1513611264.

The previous prime is 3787564129. The next prime is 3787564199. The reversal of 3787564160 is 614657873.

It can be written as a sum of positive squares in 4 ways, for example, as 3278249536 + 509314624 = 57256^2 + 22568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3787564160² = 28691284532233011200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 927884 + ... + 931956.

Almost surely, 2^3787564160 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 3787564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531550940).

3787564160 is an abundant number, since it is smaller than the sum of its proper divisors (5275537720).

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

3787564160 is a wasteful number, since it uses less digits than its factorization.

3787564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 3787564160 is about 61543.1893876162. The cubic root of 3787564160 is about 1558.7866084996.

The spelling of 3787564160 in words is "three billion, seven hundred eighty-seven million, five hundred sixty-four thousand, one hundred sixty".