36881820 has 72 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 9671040.

The previous prime is 36881807. The next prime is 36881849. The reversal of 36881820 is 2818863.

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 23 ways as a sum of consecutive naturals, for example, 9301 + ... + 12659.

It is an arithmetic number, because the mean of its divisors is an integer number (1579760).

Almost surely, 2^36881820 is an apocalyptic number.

36881820 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 36881820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

36881820 is an abundant number, since it is smaller than the sum of its proper divisors (76860900).

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

36881820 is a wasteful number, since it uses less digits than its factorization.

36881820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 36881820 is about 6073.0404246967. The cubic root of 36881820 is about 332.8670302106.

The spelling of 36881820 in words is "thirty-six million, eight hundred eighty-one thousand, eight hundred twenty".