350982720 has 280 divisors, whose sum is σ = 1363114368. Its totient is φ = 85017600.

The previous prime is 350982719. The next prime is 350982743. The reversal of 350982720 is 27289053.

350982720 = T₃₅₄₅ + T₃₅₄₆ + ... + T₃₅₉₉.

It is a happy number.

350982720 is a `hidden beast` number, since 3 + 509 + 82 + 72 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284505 + ... + 285735.

Almost surely, 2^350982720 is an apocalyptic number.

350982720 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 350982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681557184).

350982720 is an abundant number, since it is smaller than the sum of its proper divisors (1012131648).

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

350982720 is a wasteful number, since it uses less digits than its factorization.

350982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 350982720 is about 18734.5328204362. The cubic root of 350982720 is about 705.3888303247.

The spelling of 350982720 in words is "three hundred fifty million, nine hundred eighty-two thousand, seven hundred twenty".