36000998400 has 528 divisors, whose sum is σ = 126101750400. Its totient is φ = 9040035840.

The previous prime is 36000998389. The next prime is 36000998417. The reversal of 36000998400 is 489900063.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157209486 + ... + 157209714.

Almost surely, 2^36000998400 is an apocalyptic number.

36000998400 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 36000998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63050875200).

36000998400 is an abundant number, since it is smaller than the sum of its proper divisors (90100752000).

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

36000998400 is a wasteful number, since it uses less digits than its factorization.

36000998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 36000998400 in words is "thirty-six billion, nine hundred ninety-eight thousand, four hundred".