351674880 has 160 divisors (see below), whose sum is σ = 1163764800. Its totient is φ = 90488832.

The previous prime is 351674879. The next prime is 351674887. The reversal of 351674880 is 88476153.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (351674887) 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, 221931 + ... + 223509.

It is an arithmetic number, because the mean of its divisors is an integer number (7273530).

Almost surely, 2^351674880 is an apocalyptic number.

351674880 is a gapful number since it is divisible by the number (30) 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 351674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581882400).

351674880 is an abundant number, since it is smaller than the sum of its proper divisors (812089920).

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

351674880 is a wasteful number, since it uses less digits than its factorization.

351674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 351674880 is about 18752.9965605500. The cubic root of 351674880 is about 705.8522162297.

The spelling of 351674880 in words is "three hundred fifty-one million, six hundred seventy-four thousand, eight hundred eighty".