36674880 has 224 divisors, whose sum is σ = 133429248. Its totient is φ = 8448000.

The previous prime is 36674849. The next prime is 36674893. The reversal of 36674880 is 8847663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242805 + ... + 242955.

Almost surely, 2^36674880 is an apocalyptic number.

36674880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

36674880 is an abundant number, since it is smaller than the sum of its proper divisors (96754368).

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

36674880 is a wasteful number, since it uses less digits than its factorization.

36674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 36674880 is about 6055.9788638997. The cubic root of 36674880 is about 332.2433016001.

The spelling of 36674880 in words is "thirty-six million, six hundred seventy-four thousand, eight hundred eighty".