36253440 has 144 divisors (see below), whose sum is σ = 128772000. Its totient is φ = 9658368.

The previous prime is 36253421. The next prime is 36253457. The reversal of 36253440 is 4435263.

36253440 is a `hidden beast` number, since 3 + 625 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34036 + ... + 35084.

It is an arithmetic number, because the mean of its divisors is an integer number (894250).

Almost surely, 2^36253440 is an apocalyptic number.

36253440 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 36253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386000).

36253440 is an abundant number, since it is smaller than the sum of its proper divisors (92518560).

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

36253440 is a wasteful number, since it uses less digits than its factorization.

36253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 36253440 is about 6021.0829590697. The cubic root of 36253440 is about 330.9657659090.

The spelling of 36253440 in words is "thirty-six million, two hundred fifty-three thousand, four hundred forty".