350671749120 has 1920 divisors, whose sum is σ = 1630695628800. Its totient is φ = 69363302400.

The previous prime is 350671749119. The next prime is 350671749161. The reversal of 350671749120 is 21947176053.

350671749120 is a `hidden beast` number, since 3 + 506 + 7 + 17 + 4 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4939038685 + ... + 4939038755.

It is an arithmetic number, because the mean of its divisors is an integer number (849320640).

Almost surely, 2^350671749120 is an apocalyptic number.

350671749120 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 350671749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815347814400).

350671749120 is an abundant number, since it is smaller than the sum of its proper divisors (1280023879680).

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

350671749120 is a wasteful number, since it uses less digits than its factorization.

350671749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 350671749120 in words is "three hundred fifty billion, six hundred seventy-one million, seven hundred forty-nine thousand, one hundred twenty".