36802890432 has 672 divisors, whose sum is σ = 138586366464. Its totient is φ = 9405849600.

The previous prime is 36802890431. The next prime is 36802890437. The reversal of 36802890432 is 23409820863.

36802890432 is a `hidden beast` number, since 36 + 80 + 28 + 90 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (36802890431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87417582 + ... + 87418002.

It is an arithmetic number, because the mean of its divisors is an integer number (206229712).

Almost surely, 2^36802890432 is an apocalyptic number.

36802890432 is a gapful number since it is divisible by the number (32) 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 36802890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69293183232).

36802890432 is an abundant number, since it is smaller than the sum of its proper divisors (101783476032).

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

36802890432 is a wasteful number, since it uses less digits than its factorization.

36802890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 36802890432 in words is "thirty-six billion, eight hundred two million, eight hundred ninety thousand, four hundred thirty-two".