362942944 has 96 divisors (see below), whose sum is σ = 917844480. Its totient is φ = 137313792.

The previous prime is 362942941. The next prime is 362942963. The reversal of 362942944 is 449249263.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 362942944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362942941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64267 + ... + 69685.

It is an arithmetic number, because the mean of its divisors is an integer number (9560880).

Almost surely, 2^362942944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458922240).

362942944 is an abundant number, since it is smaller than the sum of its proper divisors (554901536).

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

362942944 is a wasteful number, since it uses less digits than its factorization.

362942944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5464 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 362942944 is about 19051.0614927358. The cubic root of 362942944 is about 713.3118724922.

The spelling of 362942944 in words is "three hundred sixty-two million, nine hundred forty-two thousand, nine hundred forty-four".