36790353600 has 2016 divisors, whose sum is σ = 177062952960. Its totient is φ = 6469632000.

The previous prime is 36790353583. The next prime is 36790353601. The reversal of 36790353600 is 635309763.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36790353601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1186785585 + ... + 1186785615.

Almost surely, 2^36790353600 is an apocalyptic number.

36790353600 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 36790353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88531476480).

36790353600 is an abundant number, since it is smaller than the sum of its proper divisors (140272599360).

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

36790353600 is a wasteful number, since it uses less digits than its factorization.

36790353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 42.

The spelling of 36790353600 in words is "thirty-six billion, seven hundred ninety million, three hundred fifty-three thousand, six hundred".