351190080 has 280 divisors, whose sum is σ = 1324389528. Its totient is φ = 88031232.

The previous prime is 351190067. The next prime is 351190121. The reversal of 351190080 is 80091153.

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 281434176 = 8352^2 + 16776^2 .

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440242 + ... + 441038.

Almost surely, 2^351190080 is an apocalyptic number.

351190080 is a gapful number since it is divisible by the number (30) 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 351190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662194764).

351190080 is an abundant number, since it is smaller than the sum of its proper divisors (973199448).

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

351190080 is a wasteful number, since it uses less digits than its factorization.

351190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 351190080 is about 18740.0661685064. The cubic root of 351190080 is about 705.5277171547.

The spelling of 351190080 in words is "three hundred fifty-one million, one hundred ninety thousand, eighty".