350838501120 has 864 divisors, whose sum is σ = 1303658883072. Its totient is φ = 90288193536.

The previous prime is 350838501103. The next prime is 350838501131. The reversal of 350838501120 is 21105838053.

350838501120 is a `hidden beast` number, since 3 + 50 + 83 + 8 + 501 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×350838501120³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1505744524 + ... + 1505744756.

It is an arithmetic number, because the mean of its divisors is an integer number (1508864448).

Almost surely, 2^350838501120 is an apocalyptic number.

350838501120 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 350838501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651829441536).

350838501120 is an abundant number, since it is smaller than the sum of its proper divisors (952820381952).

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

350838501120 is a wasteful number, since it uses less digits than its factorization.

350838501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 350838501120 in words is "three hundred fifty billion, eight hundred thirty-eight million, five hundred one thousand, one hundred twenty".