351200080 has 240 divisors, whose sum is σ = 1054432512. Its totient is φ = 106444800.

The previous prime is 351200033. The next prime is 351200081. The reversal of 351200080 is 80002153.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351200081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4810924 + ... + 4810996.

Almost surely, 2^351200080 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 351200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527216256).

351200080 is an abundant number, since it is smaller than the sum of its proper divisors (703232432).

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

351200080 is a wasteful number, since it uses less digits than its factorization.

351200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 351200080 is about 18740.3329746299. The cubic root of 351200080 is about 705.5344136329.

The spelling of 351200080 in words is "three hundred fifty-one million, two hundred thousand, eighty".