351800160 has 192 divisors, whose sum is σ = 1161216000. Its totient is φ = 89413632.

The previous prime is 351800149. The next prime is 351800161. The reversal of 351800160 is 61008153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 351800160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351800161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767741 + ... + 1767939.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^351800160 is an apocalyptic number.

351800160 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 351800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608000).

351800160 is an abundant number, since it is smaller than the sum of its proper divisors (809415840).

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

351800160 is a wasteful number, since it uses less digits than its factorization.

351800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 351800160 is about 18756.3365292906. The cubic root of 351800160 is about 705.9360234355.

The spelling of 351800160 in words is "three hundred fifty-one million, eight hundred thousand, one hundred sixty".