38976336 has 80 divisors (see below), whose sum is σ = 127868800. Its totient is φ = 11135232.

The previous prime is 38976323. The next prime is 38976341. The reversal of 38976336 is 63367983.

It is a happy number.

38976336 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 633 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38976291 and 38976300.

It is a congruent number.

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, 3421 + ... + 9468.

It is an arithmetic number, because the mean of its divisors is an integer number (1598360).

Almost surely, 2^38976336 is an apocalyptic number.

38976336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38976336 is an abundant number, since it is smaller than the sum of its proper divisors (88892464).

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

38976336 is a wasteful number, since it uses less digits than its factorization.

38976336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12913 (or 12901 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 38976336 is about 6243.1030745936. The cubic root of 38976336 is about 339.0525409988.

The spelling of 38976336 in words is "thirty-eight million, nine hundred seventy-six thousand, three hundred thirty-six".