350113980 has 96 divisors (see below), whose sum is σ = 1066153536. Its totient is φ = 85487616.

The previous prime is 350113961. The next prime is 350113999. The reversal of 350113980 is 89311053.

It is a happy number.

350113980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (350113961) and next prime (350113999).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33102 + ... + 42378.

It is an arithmetic number, because the mean of its divisors is an integer number (11105766).

It is the magic constant of a 888 × 888 magic square.

Almost surely, 2^350113980 is an apocalyptic number.

350113980 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 350113980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533076768).

350113980 is an abundant number, since it is smaller than the sum of its proper divisors (716039556).

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

350113980 is a wasteful number, since it uses less digits than its factorization.

350113980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 350113980 is about 18711.3329295376. The cubic root of 350113980 is about 704.8063650094.

The spelling of 350113980 in words is "three hundred fifty million, one hundred thirteen thousand, nine hundred eighty".