36978720 has 96 divisors (see below), whose sum is σ = 119387520. Its totient is φ = 9615360.

The previous prime is 36978719. The next prime is 36978727. The reversal of 36978720 is 2787963.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (36978727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18741 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 2^36978720 is an apocalyptic number.

36978720 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 36978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59693760).

36978720 is an abundant number, since it is smaller than the sum of its proper divisors (82408800).

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

36978720 is a wasteful number, since it uses less digits than its factorization.

36978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 36978720 is about 6081.0130734936. The cubic root of 36978720 is about 333.1582903181.

The spelling of 36978720 in words is "thirty-six million, nine hundred seventy-eight thousand, seven hundred twenty".