362946064 has 40 divisors (see below), whose sum is σ = 765150680. Its totient is φ = 165777408.

The previous prime is 362946043. The next prime is 362946091. The reversal of 362946064 is 460649263.

It can be written as a sum of positive squares in 4 ways, for example, as 35046400 + 327899664 = 5920^2 + 18108^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11182 + ... + 29170.

It is an arithmetic number, because the mean of its divisors is an integer number (19128767).

Almost surely, 2^362946064 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 362946064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382575340).

362946064 is an abundant number, since it is smaller than the sum of its proper divisors (402204616).

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

362946064 is a wasteful number, since it uses less digits than its factorization.

362946064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18101 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 362946064 is about 19051.1433777608. The cubic root of 362946064 is about 713.3139164560.

The spelling of 362946064 in words is "three hundred sixty-two million, nine hundred forty-six thousand, sixty-four".