36942400 has 84 divisors (see below), whose sum is σ = 99212400. Its totient is φ = 13427200.

The previous prime is 36942397. The next prime is 36942401. The reversal of 36942400 is 424963.

It is not an unprimeable number, because it can be changed into a prime (36942401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16551 + ... + 18649.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^36942400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49606200).

36942400 is an abundant number, since it is smaller than the sum of its proper divisors (62270000).

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

36942400 is a wasteful number, since it uses less digits than its factorization.

36942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36942400 is about 6078.0259953376. The cubic root of 36942400 is about 333.0491800618.

The spelling of 36942400 in words is "thirty-six million, nine hundred forty-two thousand, four hundred".