350948790720 has 280 divisors, whose sum is σ = 1361877385968. Its totient is φ = 85078425600.

The previous prime is 350948790683. The next prime is 350948790733. The reversal of 350948790720 is 27097849053.

350948790720 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 487 + 90 + 72 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330321 + ... + 900560.

Almost surely, 2^350948790720 is an apocalyptic number.

350948790720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350948790720 is an abundant number, since it is smaller than the sum of its proper divisors (1010928595248).

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

350948790720 is a wasteful number, since it uses less digits than its factorization.

350948790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230921 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 350948790720 in words is "three hundred fifty billion, nine hundred forty-eight million, seven hundred ninety thousand, seven hundred twenty".