350365680 has 180 divisors, whose sum is σ = 1368887832. Its totient is φ = 80075520.

The previous prime is 350365679. The next prime is 350365703. The reversal of 350365680 is 86563053.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×350365680² = 245512219443724800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30315 + ... + 40245.

Almost surely, 2^350365680 is an apocalyptic number.

350365680 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 350365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684443916).

350365680 is an abundant number, since it is smaller than the sum of its proper divisors (1018522152).

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

350365680 is a wasteful number, since it uses less digits than its factorization.

350365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 350365680 is about 18718.0575915344. The cubic root of 350365680 is about 704.9752217035.

The spelling of 350365680 in words is "three hundred fifty million, three hundred sixty-five thousand, six hundred eighty".