36914976 has 72 divisors (see below), whose sum is σ = 119980224. Its totient is φ = 10546560.

The previous prime is 36914971. The next prime is 36914981. The reversal of 36914976 is 67941963.

It is an interprime number because it is at equal distance from previous prime (36914971) and next prime (36914981).

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 zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (36914971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7140 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (1666392).

Almost surely, 2^36914976 is an apocalyptic number.

36914976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36914976 is an abundant number, since it is smaller than the sum of its proper divisors (83065248).

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

36914976 is a wasteful number, since it uses less digits than its factorization.

36914976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 18323 counting only the distinct ones).

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

The square root of 36914976 is about 6075.7695808844. The cubic root of 36914976 is about 332.9667472139.

The spelling of 36914976 in words is "thirty-six million, nine hundred fourteen thousand, nine hundred seventy-six".