351390312 has 320 divisors, whose sum is σ = 1244073600. Its totient is φ = 90201600.

The previous prime is 351390307. The next prime is 351390353. The reversal of 351390312 is 213093153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3479062 + ... + 3479162.

It is an arithmetic number, because the mean of its divisors is an integer number (3887730).

Almost surely, 2^351390312 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 351390312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

351390312 is an abundant number, since it is smaller than the sum of its proper divisors (892683288).

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

351390312 is a wasteful number, since it uses less digits than its factorization.

351390312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 351390312 is about 18745.4077576349. The cubic root of 351390312 is about 705.6617778757.

The spelling of 351390312 in words is "three hundred fifty-one million, three hundred ninety thousand, three hundred twelve".