36874341504 has 1920 divisors, whose sum is σ = 165461788800. Its totient is φ = 7882997760.

The previous prime is 36874341481. The next prime is 36874341527. The reversal of 36874341504 is 40514347863.

36874341504 is a `hidden beast` number, since 3 + 68 + 7 + 43 + 41 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (36874341481) and next prime (36874341527).

It is a super-2 number, since 2×36874341504² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36874341504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1940754807 + ... + 1940754825.

It is an arithmetic number, because the mean of its divisors is an integer number (86178015).

Almost surely, 2^36874341504 is an apocalyptic number.

36874341504 is a gapful number since it is divisible by the number (34) 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 36874341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730894400).

36874341504 is an abundant number, since it is smaller than the sum of its proper divisors (128587447296).

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

36874341504 is a wasteful number, since it uses less digits than its factorization.

36874341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 36874341504 in words is "thirty-six billion, eight hundred seventy-four million, three hundred forty-one thousand, five hundred four".