350806680 has 256 divisors, whose sum is σ = 1365120000. Its totient is φ = 80099712.

The previous prime is 350806663. The next prime is 350806681. The reversal of 350806680 is 86608053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350806681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369967 + ... + 370913.

It is an arithmetic number, because the mean of its divisors is an integer number (5332500).

Almost surely, 2^350806680 is an apocalyptic number.

350806680 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 350806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682560000).

350806680 is an abundant number, since it is smaller than the sum of its proper divisors (1014313320).

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

350806680 is a wasteful number, since it uses less digits than its factorization.

350806680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 350806680 is about 18729.8339554840. The cubic root of 350806680 is about 705.2708782536.

The spelling of 350806680 in words is "three hundred fifty million, eight hundred six thousand, six hundred eighty".