36945878328 has 256 divisors, whose sum is σ = 113588352000. Its totient is φ = 11074516992.

The previous prime is 36945878297. The next prime is 36945878353. The reversal of 36945878328 is 82387854963.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12930276 + ... + 12933132.

It is an arithmetic number, because the mean of its divisors is an integer number (443704500).

Almost surely, 2^36945878328 is an apocalyptic number.

36945878328 is a gapful number since it is divisible by the number (38) 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 36945878328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56794176000).

36945878328 is an abundant number, since it is smaller than the sum of its proper divisors (76642473672).

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

36945878328 is a wasteful number, since it uses less digits than its factorization.

36945878328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3041 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 36945878328 in words is "thirty-six billion, nine hundred forty-five million, eight hundred seventy-eight thousand, three hundred twenty-eight".