36894720 has 96 divisors (see below), whose sum is σ = 118132560. Its totient is φ = 9830400.

The previous prime is 36894719. The next prime is 36894721. The reversal of 36894720 is 2749863.

It is an interprime number because it is at equal distance from previous prime (36894719) and next prime (36894721).

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

It is a super-2 number, since 2×36894720² = 2722440727756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36894721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30120 + ... + 31320.

Almost surely, 2^36894720 is an apocalyptic number.

36894720 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 36894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59066280).

36894720 is an abundant number, since it is smaller than the sum of its proper divisors (81237840).

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

36894720 is a wasteful number, since it uses less digits than its factorization.

36894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 36894720 is about 6074.1024028246. The cubic root of 36894720 is about 332.9058341901.

The spelling of 36894720 in words is "thirty-six million, eight hundred ninety-four thousand, seven hundred twenty".