36703680 has 224 divisors, whose sum is σ = 133648704. Its totient is φ = 8454144.

The previous prime is 36703673. The next prime is 36703691. The reversal of 36703680 is 8630763.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 212074 + ... + 212246.

It is an arithmetic number, because the mean of its divisors is an integer number (596646).

Almost surely, 2^36703680 is an apocalyptic number.

36703680 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 36703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66824352).

36703680 is an abundant number, since it is smaller than the sum of its proper divisors (96945024).

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

36703680 is a wasteful number, since it uses less digits than its factorization.

36703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36703680 is about 6058.3562127032. The cubic root of 36703680 is about 332.3302467017.

The spelling of 36703680 in words is "thirty-six million, seven hundred three thousand, six hundred eighty".