351676416 has 384 divisors, whose sum is σ = 1254839040. Its totient is φ = 84934656.

The previous prime is 351676411. The next prime is 351676421. The reversal of 351676416 is 614676153.

It is an interprime number because it is at equal distance from previous prime (351676411) and next prime (351676421).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351676411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504750 + ... + 9504786.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^351676416 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 351676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

351676416 is an abundant number, since it is smaller than the sum of its proper divisors (903162624).

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

351676416 is a wasteful number, since it uses less digits than its factorization.

351676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 351676416 is about 18753.0375139602. The cubic root of 351676416 is about 705.8532438715.

The spelling of 351676416 in words is "three hundred fifty-one million, six hundred seventy-six thousand, four hundred sixteen".