32378976 has 72 divisors (see below), whose sum is σ = 105238224. Its totient is φ = 9250560.

The previous prime is 32378947. The next prime is 32378987. The reversal of 32378976 is 67987323.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6015 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (1461642).

Almost surely, 2^32378976 is an apocalyptic number.

32378976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32378976 is an abundant number, since it is smaller than the sum of its proper divisors (72859248).

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

32378976 is a wasteful number, since it uses less digits than its factorization.

32378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16084 (or 16073 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 32378976 is about 5690.2527184651. The cubic root of 32378976 is about 318.7286011009.

The spelling of 32378976 in words is "thirty-two million, three hundred seventy-eight thousand, nine hundred seventy-six".