351957216 has 96 divisors (see below), whose sum is σ = 1047392640. Its totient is φ = 102587904.

The previous prime is 351957169. The next prime is 351957217. The reversal of 351957216 is 612759153.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351957217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (10910340).

Almost surely, 2^351957216 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 351957216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523696320).

351957216 is an abundant number, since it is smaller than the sum of its proper divisors (695435424).

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

351957216 is a wasteful number, since it uses less digits than its factorization.

351957216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14888 (or 14880 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 351957216 is about 18760.5228072141. The cubic root of 351957216 is about 706.0410593866.

The spelling of 351957216 in words is "three hundred fifty-one million, nine hundred fifty-seven thousand, two hundred sixteen".