3890764800 has 528 divisors, whose sum is σ = 15422589280. Its totient is φ = 955514880.

The previous prime is 3890764799. The next prime is 3890764817. The reversal of 3890764800 is 84670983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8985384 + ... + 8985816.

Almost surely, 2^3890764800 is an apocalyptic number.

3890764800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3890764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711294640).

3890764800 is an abundant number, since it is smaller than the sum of its proper divisors (11531824480).

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

3890764800 is a wasteful number, since it uses less digits than its factorization.

3890764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3890764800 is about 62375.9953828394. The cubic root of 3890764800 is about 1572.8174758749.

The spelling of 3890764800 in words is "three billion, eight hundred ninety million, seven hundred sixty-four thousand, eight hundred".