354315972 has 48 divisors (see below), whose sum is σ = 878290560. Its totient is φ = 110787072.

The previous prime is 354315947. The next prime is 354316013. The reversal of 354315972 is 279513453.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 354315972.

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, 61929 + ... + 67407.

It is an arithmetic number, because the mean of its divisors is an integer number (18297720).

Almost surely, 2^354315972 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 354315972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439145280).

354315972 is an abundant number, since it is smaller than the sum of its proper divisors (523974588).

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

354315972 is a wasteful number, since it uses less digits than its factorization.

354315972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5818 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 354315972 is about 18823.2827105157. The cubic root of 354315972 is about 707.6148037136.

The spelling of 354315972 in words is "three hundred fifty-four million, three hundred fifteen thousand, nine hundred seventy-two".