3764400640 has 480 divisors, whose sum is σ = 12292891776. Its totient is φ = 1073479680.

The previous prime is 3764400589. The next prime is 3764400697. The reversal of 3764400640 is 460044673.

It is a junction number, because it is equal to n+sod(n) for n = 3764400596 and 3764400605.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33313224 + ... + 33313336.

Almost surely, 2^3764400640 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 3764400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146445888).

3764400640 is an abundant number, since it is smaller than the sum of its proper divisors (8528491136).

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

3764400640 is a wasteful number, since it uses less digits than its factorization.

3764400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3764400640 is about 61354.7116365157. The cubic root of 3764400640 is about 1555.6024299102.

It can be divided in two parts, 3764 and 400640, that added together give a palindrome (404404).

The spelling of 3764400640 in words is "three billion, seven hundred sixty-four million, four hundred thousand, six hundred forty".