351412352 has 32 divisors (see below), whose sum is σ = 704416080. Its totient is φ = 174617856.

The previous prime is 351412349. The next prime is 351412357. The reversal of 351412352 is 253214153.

It is a happy number.

351412352 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 (32).

It is a super-2 number, since 2×351412352² = 246981282276343808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351412357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12443 + ... + 29285.

Almost surely, 2^351412352 is an apocalyptic number.

351412352 is a gapful number since it is divisible by the number (32) 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 351412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352208040).

351412352 is an abundant number, since it is smaller than the sum of its proper divisors (353003728).

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

351412352 is a wasteful number, since it uses less digits than its factorization.

351412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17008 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 351412352 is about 18745.9956257330. The cubic root of 351412352 is about 705.6765311381.

The spelling of 351412352 in words is "three hundred fifty-one million, four hundred twelve thousand, three hundred fifty-two".