351978816 has 112 divisors (see below), whose sum is σ = 1068669440. Its totient is φ = 100154880.

The previous prime is 351978799. The next prime is 351978827. The reversal of 351978816 is 618879153.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 509031 + ... + 509721.

Almost surely, 2^351978816 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 351978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534334720).

351978816 is an abundant number, since it is smaller than the sum of its proper divisors (716690624).

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

351978816 is a wasteful number, since it uses less digits than its factorization.

351978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 351978816 is about 18761.0984753026. The cubic root of 351978816 is about 706.0555025956.

The spelling of 351978816 in words is "three hundred fifty-one million, nine hundred seventy-eight thousand, eight hundred sixteen".