36880480 has 192 divisors, whose sum is σ = 114307200. Its totient is φ = 10911744.

The previous prime is 36880457. The next prime is 36880499. The reversal of 36880480 is 8408863.

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, 247446 + ... + 247594.

It is an arithmetic number, because the mean of its divisors is an integer number (595350).

Almost surely, 2^36880480 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 36880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

36880480 is an abundant number, since it is smaller than the sum of its proper divisors (77426720).

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

36880480 is a wasteful number, since it uses less digits than its factorization.

36880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 36880480 is about 6072.9301000423. The cubic root of 36880480 is about 332.8629988909.

The spelling of 36880480 in words is "thirty-six million, eight hundred eighty thousand, four hundred eighty".