352557216 has 216 divisors, whose sum is σ = 1125869472. Its totient is φ = 104544000.

The previous prime is 352557211. The next prime is 352557221. The reversal of 352557216 is 612755253.

It is an interprime number because it is at equal distance from previous prime (352557211) and next prime (352557221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (352557211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2334741 + ... + 2334891.

Almost surely, 2^352557216 is an apocalyptic number.

352557216 is a gapful number since it is divisible by the number (36) 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 352557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562934736).

352557216 is an abundant number, since it is smaller than the sum of its proper divisors (773312256).

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

352557216 is a wasteful number, since it uses less digits than its factorization.

352557216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 352557216 is about 18776.5070234056. The cubic root of 352557216 is about 706.4420400731.

The spelling of 352557216 in words is "three hundred fifty-two million, five hundred fifty-seven thousand, two hundred sixteen".