36940320 has 192 divisors, whose sum is σ = 137168640. Its totient is φ = 9252864.

The previous prime is 36940289. The next prime is 36940333. The reversal of 36940320 is 2304963.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73189 + ... + 73691.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 2^36940320 is an apocalyptic number.

36940320 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 36940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

36940320 is an abundant number, since it is smaller than the sum of its proper divisors (100228320).

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

36940320 is a wasteful number, since it uses less digits than its factorization.

36940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36940320 is about 6077.8548847435. The cubic root of 36940320 is about 333.0429292922.

The spelling of 36940320 in words is "thirty-six million, nine hundred forty thousand, three hundred twenty".