351303680 has 288 divisors, whose sum is σ = 1079114400. Its totient is φ = 107347968.

The previous prime is 351303637. The next prime is 351303683. The reversal of 351303680 is 86303153.

It is a hoax number, since the sum of its digits (29) 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 (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351303683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12113906 + ... + 12113934.

It is an arithmetic number, because the mean of its divisors is an integer number (3746925).

Almost surely, 2^351303680 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 351303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539557200).

351303680 is an abundant number, since it is smaller than the sum of its proper divisors (727810720).

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

351303680 is a wasteful number, since it uses less digits than its factorization.

351303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 351303680 is about 18743.0968625785. The cubic root of 351303680 is about 705.6037816688.

The spelling of 351303680 in words is "three hundred fifty-one million, three hundred three thousand, six hundred eighty".