36894726400 has 243 divisors, whose sum is σ = 106540245441. Its totient is φ = 12649620480.

The previous prime is 36894726383. The next prime is 36894726431. The reversal of 36894726400 is 462749863.

The square root of 36894726400 is 192080.

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

It can be written as a sum of positive squares in only one way, i.e., 13282101504 + 23612624896 = 115248^2 + 153664^2 .

It is a super-2 number, since 2×36894726400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5270675197 + ... + 5270675203.

Almost surely, 2^36894726400 is an apocalyptic number.

36894726400 is the 192080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36894726400

36894726400 is an abundant number, since it is smaller than the sum of its proper divisors (69645519041).

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

36894726400 is an frugal number, since it uses more digits than its factorization.

36894726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 36894726400 by its sum of digits (49), we get a square (1807841593600 = 1344560²).

36894726400 divided by its sum of digits (49) gives a square (752953600 = 27440²).

The spelling of 36894726400 in words is "thirty-six billion, eight hundred ninety-four million, seven hundred twenty-six thousand, four hundred".