36846313920 has 336 divisors, whose sum is σ = 143671076640. Its totient is φ = 8592334848.

The previous prime is 36846313897. The next prime is 36846313943. The reversal of 36846313920 is 2931364863.

36846313920 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 631 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36846313897) and next prime (36846313943).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685462 + ... + 737258.

It is an arithmetic number, because the mean of its divisors is an integer number (427592490).

Almost surely, 2^36846313920 is an apocalyptic number.

36846313920 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 36846313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71835538320).

36846313920 is an abundant number, since it is smaller than the sum of its proper divisors (106824762720).

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

36846313920 is a wasteful number, since it uses less digits than its factorization.

36846313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51852 (or 51839 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 36846313920 in words is "thirty-six billion, eight hundred forty-six million, three hundred thirteen thousand, nine hundred twenty".