37213314336 has 144 divisors (see below), whose sum is σ = 115623039168. Its totient is φ = 11259456000.

The previous prime is 37213314293. The next prime is 37213314349. The reversal of 37213314336 is 63341331273.

37213314336 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 3 + 314 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 37213314336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2136061 + ... + 2153411.

It is an arithmetic number, because the mean of its divisors is an integer number (802937772).

Almost surely, 2^37213314336 is an apocalyptic number.

37213314336 is a gapful number since it is divisible by the number (36) 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 37213314336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57811519584).

37213314336 is an abundant number, since it is smaller than the sum of its proper divisors (78409724832).

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

37213314336 is a wasteful number, since it uses less digits than its factorization.

37213314336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18055 (or 18044 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The spelling of 37213314336 in words is "thirty-seven billion, two hundred thirteen million, three hundred fourteen thousand, three hundred thirty-six".