362344668 has 96 divisors (see below), whose sum is σ = 1061437440. Its totient is φ = 93804480.

The previous prime is 362344657. The next prime is 362344669. The reversal of 362344668 is 866443263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (362344669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31773 + ... + 41643.

It is an arithmetic number, because the mean of its divisors is an integer number (11056640).

Almost surely, 2^362344668 is an apocalyptic number.

362344668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362344668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530718720).

362344668 is an abundant number, since it is smaller than the sum of its proper divisors (699092772).

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

362344668 is a wasteful number, since it uses less digits than its factorization.

362344668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9927 (or 9925 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 362344668 is about 19035.3531094120. The cubic root of 362344668 is about 712.9197152812.

The spelling of 362344668 in words is "three hundred sixty-two million, three hundred forty-four thousand, six hundred sixty-eight".