362996640 has 240 divisors, whose sum is σ = 1317437352. Its totient is φ = 94058496.

The previous prime is 362996591. The next prime is 362996681. The reversal of 362996640 is 46699263.

It can be written as a sum of positive squares in 4 ways, for example, as 351787536 + 11209104 = 18756^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 479142 + ... + 479898.

Almost surely, 2^362996640 is an apocalyptic number.

362996640 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 362996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658718676).

362996640 is an abundant number, since it is smaller than the sum of its proper divisors (954440712).

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

362996640 is a wasteful number, since it uses less digits than its factorization.

362996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 362996640 is about 19052.4707059216. The cubic root of 362996640 is about 713.3470479987.

The spelling of 362996640 in words is "three hundred sixty-two million, nine hundred ninety-six thousand, six hundred forty".