3688879920 has 80 divisors (see below), whose sum is σ = 12475130112. Its totient is φ = 894273280.

The previous prime is 3688879919. The next prime is 3688879939. The reversal of 3688879920 is 299788863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 696012 + ... + 701291.

Almost surely, 2^3688879920 is an apocalyptic number.

3688879920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3688879920 is an abundant number, since it is smaller than the sum of its proper divisors (8786250192).

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

3688879920 is a wasteful number, since it uses less digits than its factorization.

3688879920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397330 (or 1397324 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The square root of 3688879920 is about 60736.1500261582. The cubic root of 3688879920 is about 1545.1293405612.

The spelling of 3688879920 in words is "three billion, six hundred eighty-eight million, eight hundred seventy-nine thousand, nine hundred twenty".