36240400 has 135 divisors (see below), whose sum is σ = 103692861. Its totient is φ = 12136320.

The previous prime is 36240397. The next prime is 36240403. The reversal of 36240400 is 404263.

The square root of 36240400 is 6020.

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

It is an interprime number because it is at equal distance from previous prime (36240397) and next prime (36240403).

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 23193856 = 3612^2 + 4816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36240403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 842779 + ... + 842821.

Almost surely, 2^36240400 is an apocalyptic number.

36240400 is the 6020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36240400

36240400 is an abundant number, since it is smaller than the sum of its proper divisors (67452461).

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

36240400 is a wasteful number, since it uses less digits than its factorization.

36240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 36240400 is about 330.9260794577.

Multiplying 36240400 by its product of nonzero digits (576), we get a square (20874470400 = 144480²).

Adding to 36240400 its reverse (404263), we get a palindrome (36644663).

The spelling of 36240400 in words is "thirty-six million, two hundred forty thousand, four hundred".