352016672 has 96 divisors (see below), whose sum is σ = 816480000. Its totient is φ = 146285568.

The previous prime is 352016663. The next prime is 352016681. The reversal of 352016672 is 276610253.

It is an interprime number because it is at equal distance from previous prime (352016663) and next prime (352016681).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1768829 + ... + 1769027.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^352016672 is an apocalyptic number.

352016672 is a gapful number since it is divisible by the number (32) 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 352016672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

352016672 is an abundant number, since it is smaller than the sum of its proper divisors (464463328).

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

352016672 is a wasteful number, since it uses less digits than its factorization.

352016672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 352016672 is about 18762.1073443257. The cubic root of 352016672 is about 706.0808142315.

The spelling of 352016672 in words is "three hundred fifty-two million, sixteen thousand, six hundred seventy-two".