353319972 has 48 divisors (see below), whose sum is σ = 869756160. Its totient is φ = 111323808.

The previous prime is 353319971. The next prime is 353319977. The reversal of 353319972 is 279913353.

It is a super-2 number, since 2×353319972² = 249670005228161568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (353319971) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 117763 + ... + 120725.

It is an arithmetic number, because the mean of its divisors is an integer number (18119920).

Almost surely, 2^353319972 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 353319972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434878080).

353319972 is an abundant number, since it is smaller than the sum of its proper divisors (516436188).

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

353319972 is a wasteful number, since it uses less digits than its factorization.

353319972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3510 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 353319972 is about 18796.8074948913. The cubic root of 353319972 is about 706.9511345330.

The spelling of 353319972 in words is "three hundred fifty-three million, three hundred nineteen thousand, nine hundred seventy-two".