36378720 has 240 divisors, whose sum is σ = 147093408. Its totient is φ = 8294400.

The previous prime is 36378703. The next prime is 36378737. The reversal of 36378720 is 2787363.

It is an interprime number because it is at equal distance from previous prime (36378703) and next prime (36378737).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×36378720² = 2646822537676800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90520 + ... + 90920.

Almost surely, 2^36378720 is an apocalyptic number.

36378720 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 36378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73546704).

36378720 is an abundant number, since it is smaller than the sum of its proper divisors (110714688).

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

36378720 is a wasteful number, since it uses less digits than its factorization.

36378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36378720 is about 6031.4774309451. The cubic root of 36378720 is about 331.3465639918.

The spelling of 36378720 in words is "thirty-six million, three hundred seventy-eight thousand, seven hundred twenty".