36501346250400 has 576 divisors, whose sum is σ = 123323306803200. Its totient is φ = 9372836229120.

The previous prime is 36501346250387. The next prime is 36501346250417. The reversal of 36501346250400 is 405264310563.

It is a super-3 number, since 3×36501346250400³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420659954 + ... + 1420685646.

It is an arithmetic number, because the mean of its divisors is an integer number (214102963200).

Almost surely, 2^{36501346250400} is an apocalyptic number.

36501346250400 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 36501346250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61661653401600).

36501346250400 is an abundant number, since it is smaller than the sum of its proper divisors (86821960552800).

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

36501346250400 is a wasteful number, since it uses less digits than its factorization.

36501346250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25981 (or 25968 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 36501346250400 in words is "thirty-six trillion, five hundred one billion, three hundred forty-six million, two hundred fifty thousand, four hundred".