36840400 has 60 divisors (see below), whose sum is σ = 91394944. Its totient is φ = 14256000.

The previous prime is 36840383. The next prime is 36840437. The reversal of 36840400 is 404863.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10915 + ... + 13885.

Almost surely, 2^36840400 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 36840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45697472).

36840400 is an abundant number, since it is smaller than the sum of its proper divisors (54554544).

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

36840400 is a wasteful number, since it uses less digits than its factorization.

36840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 36840400 is about 6069.6293132283. The cubic root of 36840400 is about 332.7423751466.

The spelling of 36840400 in words is "thirty-six million, eight hundred forty thousand, four hundred".