351804816 has 160 divisors (see below), whose sum is σ = 1114035840. Its totient is φ = 105408000.

The previous prime is 351804809. The next prime is 351804853. The reversal of 351804816 is 618408153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479586 + ... + 480318.

It is an arithmetic number, because the mean of its divisors is an integer number (6962724).

Almost surely, 2^351804816 is an apocalyptic number.

351804816 is a gapful number since it is divisible by the number (36) 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 351804816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557017920).

351804816 is an abundant number, since it is smaller than the sum of its proper divisors (762231024).

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

351804816 is a wasteful number, since it uses less digits than its factorization.

351804816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 351804816 is about 18756.4606469344. The cubic root of 351804816 is about 705.9391377259.

The spelling of 351804816 in words is "three hundred fifty-one million, eight hundred four thousand, eight hundred sixteen".