362340864 has 100 divisors (see below), whose sum is σ = 1081615854. Its totient is φ = 120766464.

The previous prime is 362340859. The next prime is 362340883. The reversal of 362340864 is 468043263.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 324000000 + 38340864 = 18000^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37104 + ... + 45840.

Almost surely, 2^362340864 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 362340864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540807927).

362340864 is an abundant number, since it is smaller than the sum of its proper divisors (719274990).

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

362340864 is an frugal number, since it uses more digits than its factorization.

362340864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 362340864 is about 19035.2531898055. The cubic root of 362340864 is about 712.9172204594.

It can be divided in two parts, 36 and 2340864, that added together give a square (2340900 = 1530²).

The spelling of 362340864 in words is "three hundred sixty-two million, three hundred forty thousand, eight hundred sixty-four".