36347857920 has 1056 divisors, whose sum is σ = 148191664320. Its totient is φ = 8434483200.

The previous prime is 36347857883. The next prime is 36347857967. The reversal of 36347857920 is 2975874363.

36347857920 is a `hidden beast` number, since 3 + 6 + 3 + 47 + 8 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685808614 + ... + 685808666.

Almost surely, 2^36347857920 is an apocalyptic number.

36347857920 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 36347857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74095832160).

36347857920 is an abundant number, since it is smaller than the sum of its proper divisors (111843806400).

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

36347857920 is a wasteful number, since it uses less digits than its factorization.

36347857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 36347857920 in words is "thirty-six billion, three hundred forty-seven million, eight hundred fifty-seven thousand, nine hundred twenty".