36014400 has 252 divisors, whose sum is σ = 133275324. Its totient is φ = 9216000.

The previous prime is 36014393. The next prime is 36014411. The reversal of 36014400 is 441063.

It can be written as a sum of positive squares in 6 ways, for example, as 15872256 + 20142144 = 3984^2 + 4488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590370 + ... + 590430.

Almost surely, 2^36014400 is an apocalyptic number.

36014400 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 36014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66637662).

36014400 is an abundant number, since it is smaller than the sum of its proper divisors (97260924).

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

36014400 is a wasteful number, since it uses less digits than its factorization.

36014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

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

The square root of 36014400 is about 6001.1998800240. The cubic root of 36014400 is about 330.2367447173.

Adding to 36014400 its reverse (441063), we get a palindrome (36455463).

It can be divided in two parts, 3601 and 4400, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 36014400 in words is "thirty-six million, fourteen thousand, four hundred".