351434880 has 384 divisors, whose sum is σ = 1333266480. Its totient is φ = 84934656.

The previous prime is 351434869. The next prime is 351434893. The reversal of 351434880 is 88434153.

351434880 is a `hidden beast` number, since 35 + 143 + 488 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 268697664 + 82737216 = 16392^2 + 9096^2 .

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

It is a super-2 number, since 2×351434880² = 247012949761228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622992 + ... + 3623088.

Almost surely, 2^351434880 is an apocalyptic number.

351434880 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 351434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666633240).

351434880 is an abundant number, since it is smaller than the sum of its proper divisors (981831600).

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

351434880 is a wasteful number, since it uses less digits than its factorization.

351434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 351434880 is about 18746.5964910967. The cubic root of 351434880 is about 705.6916104233.

The spelling of 351434880 in words is "three hundred fifty-one million, four hundred thirty-four thousand, eight hundred eighty".