362479104 has 160 divisors (see below), whose sum is σ = 1156071840. Its totient is φ = 111476736.

The previous prime is 362479081. The next prime is 362479123. The reversal of 362479104 is 401974263.

362479104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×362479104² = 262782201673285632, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 178704 + ... + 180720.

It is an arithmetic number, because the mean of its divisors is an integer number (7225449).

Almost surely, 2^362479104 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 362479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578035920).

362479104 is an abundant number, since it is smaller than the sum of its proper divisors (793592736).

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

362479104 is a wasteful number, since it uses less digits than its factorization.

362479104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 362479104 is about 19038.8840009072. The cubic root of 362479104 is about 713.0078728033.

It can be divided in two parts, 3624 and 79104, that added together give a palindrome (82728).

The spelling of 362479104 in words is "three hundred sixty-two million, four hundred seventy-nine thousand, one hundred four".