36881434080 has 192 divisors, whose sum is σ = 133249536000. Its totient is φ = 9517754880.

The previous prime is 36881434069. The next prime is 36881434103. The reversal of 36881434080 is 8043418863.

36881434080 is a `hidden beast` number, since 3 + 68 + 81 + 434 + 0 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3780 + ... + 271619.

It is an arithmetic number, because the mean of its divisors is an integer number (694008000).

Almost surely, 2^36881434080 is an apocalyptic number.

36881434080 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 36881434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768000).

36881434080 is an abundant number, since it is smaller than the sum of its proper divisors (96368101920).

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

36881434080 is a wasteful number, since it uses less digits than its factorization.

36881434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275454 (or 275440 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 36881434080 in words is "thirty-six billion, eight hundred eighty-one million, four hundred thirty-four thousand, eighty".