351775872 has 320 divisors, whose sum is σ = 1238149440. Its totient is φ = 97044480.

The previous prime is 351775867. The next prime is 351775901. The reversal of 351775872 is 278577153.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2685247 + ... + 2685377.

It is an arithmetic number, because the mean of its divisors is an integer number (3869217).

Almost surely, 2^351775872 is an apocalyptic number.

351775872 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 351775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619074720).

351775872 is an abundant number, since it is smaller than the sum of its proper divisors (886373568).

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

351775872 is a wasteful number, since it uses less digits than its factorization.

351775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 351775872 is about 18755.6890569235. The cubic root of 351775872 is about 705.9197773099.

The spelling of 351775872 in words is "three hundred fifty-one million, seven hundred seventy-five thousand, eight hundred seventy-two".