36794912400 has 405 divisors, whose sum is σ = 134448828969. Its totient is φ = 9317848320.

The previous prime is 36794912393. The next prime is 36794912459. The reversal of 36794912400 is 421949763.

It is a happy number.

The square root of 36794912400 is 191820.

It is a perfect power (a square), and thus also a powerful number.

36794912400 is a `hidden beast` number, since 367 + 9 + 49 + 1 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13246168464 + 23548743936 = 115092^2 + 153456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 264711531 + ... + 264711669.

Almost surely, 2^36794912400 is an apocalyptic number.

36794912400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36794912400 is the 191820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36794912400

36794912400 is an abundant number, since it is smaller than the sum of its proper divisors (97653916569).

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

36794912400 is a wasteful number, since it uses less digits than its factorization.

36794912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 36794912400 in words is "thirty-six billion, seven hundred ninety-four million, nine hundred twelve thousand, four hundred".