362131968 has 80 divisors (see below), whose sum is σ = 1052495136. Its totient is φ = 109731840.

The previous prime is 362131937. The next prime is 362131969. The reversal of 362131968 is 869131263.

It is a super-2 number, since 2×362131968² = 262279124495106048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (362131969) 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 7 ways as a sum of consecutive naturals, for example, 6180 + ... + 27612.

Almost surely, 2^362131968 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 362131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526247568).

362131968 is an abundant number, since it is smaller than the sum of its proper divisors (690363168).

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

362131968 is a wasteful number, since it uses less digits than its factorization.

362131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21465 (or 21449 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 362131968 is about 19029.7653164720. The cubic root of 362131968 is about 712.7801909392.

The spelling of 362131968 in words is "three hundred sixty-two million, one hundred thirty-one thousand, nine hundred sixty-eight".