3906960960 has 112 divisors (see below), whose sum is σ = 14176711296. Its totient is φ = 893018112.

The previous prime is 3906960923. The next prime is 3906960973. The reversal of 3906960960 is 690696093.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283977 + ... + 297416.

Almost surely, 2^3906960960 is an apocalyptic number.

3906960960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3906960960 is an abundant number, since it is smaller than the sum of its proper divisors (10269750336).

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

3906960960 is a wasteful number, since it uses less digits than its factorization.

3906960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581420 (or 581410 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 3906960960 is about 62505.6874212259. The cubic root of 3906960960 is about 1574.9968536092.

The spelling of 3906960960 in words is "three billion, nine hundred six million, nine hundred sixty thousand, nine hundred sixty".