362863968 has 48 divisors (see below), whose sum is σ = 953512560. Its totient is φ = 120828416.

The previous prime is 362863951. The next prime is 362863973. The reversal of 362863968 is 869368263.

362863968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×362863968³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 362863968.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 155998 + ... + 158306.

It is an arithmetic number, because the mean of its divisors is an integer number (19864845).

Almost surely, 2^362863968 is an apocalyptic number.

It is an amenable number.

362863968 is an abundant number, since it is smaller than the sum of its proper divisors (590648592).

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

362863968 is a wasteful number, since it uses less digits than its factorization.

362863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3951 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 362863968 is about 19048.9886345706. The cubic root of 362863968 is about 713.2601301032.

The spelling of 362863968 in words is "three hundred sixty-two million, eight hundred sixty-three thousand, nine hundred sixty-eight".