36890672 has 60 divisors (see below), whose sum is σ = 88498800. Its totient is φ = 14586624.

The previous prime is 36890641. The next prime is 36890681. The reversal of 36890672 is 27609863.

It is a super-3 number, since 3×36890672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 17954 + ... + 19902.

It is an arithmetic number, because the mean of its divisors is an integer number (1474980).

Almost surely, 2^36890672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36890672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44249400).

36890672 is an abundant number, since it is smaller than the sum of its proper divisors (51608128).

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

36890672 is a wasteful number, since it uses less digits than its factorization.

36890672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 36890672 is about 6073.7691757261. The cubic root of 36890672 is about 332.8936585354.

The spelling of 36890672 in words is "thirty-six million, eight hundred ninety thousand, six hundred seventy-two".