36954313344 has 512 divisors, whose sum is σ = 122739456000. Its totient is φ = 10933678080.

The previous prime is 36954313327. The next prime is 36954313349. The reversal of 36954313344 is 44331345963.

36954313344 is a `hidden beast` number, since 3 + 69 + 543 + 1 + 3 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36954313344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36954313349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235377714 + ... + 235377870.

It is an arithmetic number, because the mean of its divisors is an integer number (239725500).

Almost surely, 2^36954313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36954313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61369728000).

36954313344 is an abundant number, since it is smaller than the sum of its proper divisors (85785142656).

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

36954313344 is a wasteful number, since it uses less digits than its factorization.

36954313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 206 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 36954313344 in words is "thirty-six billion, nine hundred fifty-four million, three hundred thirteen thousand, three hundred forty-four".