36819720 has 192 divisors, whose sum is σ = 144144000. Its totient is φ = 7962624.

The previous prime is 36819707. The next prime is 36819721. The reversal of 36819720 is 2791863.

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

It is not an unprimeable number, because it can be changed into a prime (36819721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47496 + ... + 48264.

It is an arithmetic number, because the mean of its divisors is an integer number (750750).

Almost surely, 2^36819720 is an apocalyptic number.

36819720 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 36819720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072000).

36819720 is an abundant number, since it is smaller than the sum of its proper divisors (107324280).

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

36819720 is a wasteful number, since it uses less digits than its factorization.

36819720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 36819720 is about 6067.9255104195. The cubic root of 36819720 is about 332.6801029286.

The spelling of 36819720 in words is "thirty-six million, eight hundred nineteen thousand, seven hundred twenty".