3890712960 has 128 divisors (see below), whose sum is σ = 13779669600. Its totient is φ = 1037518848.

The previous prime is 3890712937. The next prime is 3890712967. The reversal of 3890712960 is 692170983.

3890712960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3890712960² = 30275294674223923200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890712967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95299 + ... + 129858.

Almost surely, 2^3890712960 is an apocalyptic number.

3890712960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3890712960 is an abundant number, since it is smaller than the sum of its proper divisors (9888956640).

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

3890712960 is a wasteful number, since it uses less digits than its factorization.

3890712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225185 (or 225167 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3890712960 is about 62375.5798369843. The cubic root of 3890712960 is about 1572.8104905113.

The spelling of 3890712960 in words is "three billion, eight hundred ninety million, seven hundred twelve thousand, nine hundred sixty".