3900379680 has 72 divisors (see below), whose sum is σ = 13310050572. Its totient is φ = 1040100864.

The previous prime is 3900379673. The next prime is 3900379723. The reversal of 3900379680 is 869730093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3853429776 + 46949904 = 62076^2 + 6852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1352859 + ... + 1355738.

Almost surely, 2^3900379680 is an apocalyptic number.

3900379680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3900379680 is an abundant number, since it is smaller than the sum of its proper divisors (9409670892).

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

3900379680 is a wasteful number, since it uses less digits than its factorization.

3900379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708618 (or 2708607 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3900379680 is about 62453.0197828736. The cubic root of 3900379680 is about 1574.1119952687. Note that the first 3 decimals are identical.

The spelling of 3900379680 in words is "three billion, nine hundred million, three hundred seventy-nine thousand, six hundred eighty".