36741600 has 324 divisors, whose sum is σ = 153755784. Its totient is φ = 8398080.

The previous prime is 36741599. The next prime is 36741623. The reversal of 36741600 is 614763.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248797 + ... + 5248803.

Almost surely, 2^36741600 is an apocalyptic number.

36741600 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 36741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76877892).

36741600 is an abundant number, since it is smaller than the sum of its proper divisors (117014184).

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

36741600 is an frugal number, since it uses more digits than its factorization.

36741600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36741600 is about 6061.4849665738. The cubic root of 36741600 is about 332.4446550806. Note that the first 3 decimals are identical.

The spelling of 36741600 in words is "thirty-six million, seven hundred forty-one thousand, six hundred".