3788757504 has 400 divisors, whose sum is σ = 13372525056. Its totient is φ = 1045094400.

The previous prime is 3788757499. The next prime is 3788757559. The reversal of 3788757504 is 4057578873.

3788757504 is a `hidden beast` number, since 3 + 7 + 8 + 87 + 57 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8999214 + ... + 8999634.

Almost surely, 2^3788757504 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 3788757504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686262528).

3788757504 is an abundant number, since it is smaller than the sum of its proper divisors (9583767552).

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

3788757504 is an equidigital number, since it uses as much as digits as its factorization.

3788757504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The square root of 3788757504 is about 61552.8837992177. The cubic root of 3788757504 is about 1558.9502997483.

The spelling of 3788757504 in words is "three billion, seven hundred eighty-eight million, seven hundred fifty-seven thousand, five hundred four".