36274790400 has 672 divisors, whose sum is σ = 133395890688. Its totient is φ = 8650752000.

The previous prime is 36274790369. The next prime is 36274790437. The reversal of 36274790400 is 409747263.

It is a congruent number.

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, 240230325 + ... + 240230475.

Almost surely, 2^36274790400 is an apocalyptic number.

36274790400 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 36274790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66697945344).

36274790400 is an abundant number, since it is smaller than the sum of its proper divisors (97121100288).

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

36274790400 is a wasteful number, since it uses less digits than its factorization.

36274790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 36274790400 in words is "thirty-six billion, two hundred seventy-four million, seven hundred ninety thousand, four hundred".