350611680 has 96 divisors (see below), whose sum is σ = 1130177664. Its totient is φ = 91316736.

The previous prime is 350611663. The next prime is 350611687. The reversal of 350611680 is 86116053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350611687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12147 + ... + 29133.

It is an arithmetic number, because the mean of its divisors is an integer number (11772684).

Almost surely, 2^350611680 is an apocalyptic number.

350611680 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 350611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565088832).

350611680 is an abundant number, since it is smaller than the sum of its proper divisors (779565984).

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

350611680 is a wasteful number, since it uses less digits than its factorization.

350611680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17048 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 350611680 is about 18724.6276331467. The cubic root of 350611680 is about 705.1401763417.

The spelling of 350611680 in words is "three hundred fifty million, six hundred eleven thousand, six hundred eighty".