36407980 has 72 divisors (see below), whose sum is σ = 90091008. Its totient is φ = 12321792.

The previous prime is 36407977. The next prime is 36407983. The reversal of 36407980 is 8970463.

It is an interprime number because it is at equal distance from previous prime (36407977) and next prime (36407983).

It is not an unprimeable number, because it can be changed into a prime (36407983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94869 + ... + 95251.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^36407980 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 36407980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45045504).

36407980 is an abundant number, since it is smaller than the sum of its proper divisors (53683028).

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

36407980 is a wasteful number, since it uses less digits than its factorization.

36407980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36407980 is about 6033.9025514173. The cubic root of 36407980 is about 331.4353760069.

The spelling of 36407980 in words is "thirty-six million, four hundred seven thousand, nine hundred eighty".