363134040 has 64 divisors (see below), whose sum is σ = 1095003360. Its totient is φ = 96337920.

The previous prime is 363134033. The next prime is 363134041. The reversal of 363134040 is 40431363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 363134040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363134041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15960 + ... + 31320.

Almost surely, 2^363134040 is an apocalyptic number.

363134040 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 363134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547501680).

363134040 is an abundant number, since it is smaller than the sum of its proper divisors (731869320).

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

363134040 is a wasteful number, since it uses less digits than its factorization.

363134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 363134040 is about 19056.0761963212. The cubic root of 363134040 is about 713.4370410451.

The spelling of 363134040 in words is "three hundred sixty-three million, one hundred thirty-four thousand, forty".