36140400 has 90 divisors (see below), whose sum is σ = 125429720. Its totient is φ = 9636480.

The previous prime is 36140387. The next prime is 36140407. The reversal of 36140400 is 404163.

36140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×36140400² = 2612257024320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36140407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1420 + ... + 8619.

Almost surely, 2^36140400 is an apocalyptic number.

36140400 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 36140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62714860).

36140400 is an abundant number, since it is smaller than the sum of its proper divisors (89289320).

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

36140400 is a wasteful number, since it uses less digits than its factorization.

36140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10063 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36140400 is about 6011.6886146906. The cubic root of 36140400 is about 330.6214186120.

Adding to 36140400 its reverse (404163), we get a palindrome (36544563).

The spelling of 36140400 in words is "thirty-six million, one hundred forty thousand, four hundred".