351954816 has 64 divisors (see below), whose sum is σ = 940782720. Its totient is φ = 116577792.

The previous prime is 351954797. The next prime is 351954839. The reversal of 351954816 is 618459153.

351954816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59781 + ... + 65403.

It is an arithmetic number, because the mean of its divisors is an integer number (14699730).

Almost surely, 2^351954816 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 351954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470391360).

351954816 is an abundant number, since it is smaller than the sum of its proper divisors (588827904).

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

351954816 is a wasteful number, since it uses less digits than its factorization.

351954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5791 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 351954816 is about 18760.4588430027. The cubic root of 351954816 is about 706.0394545491.

The spelling of 351954816 in words is "three hundred fifty-one million, nine hundred fifty-four thousand, eight hundred sixteen".