350112174720 has 1024 divisors, whose sum is σ = 1455921561600. Its totient is φ = 69440716800.

The previous prime is 350112174691. The next prime is 350112174739. The reversal of 350112174720 is 27471211053.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 362059677 + ... + 362060643.

It is an arithmetic number, because the mean of its divisors is an integer number (1421798400).

Almost surely, 2^350112174720 is an apocalyptic number.

350112174720 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 350112174720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727960780800).

350112174720 is an abundant number, since it is smaller than the sum of its proper divisors (1105809386880).

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

350112174720 is a wasteful number, since it uses less digits than its factorization.

350112174720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 350112174720 its reverse (27471211053), we get a palindrome (377583385773).

The spelling of 350112174720 in words is "three hundred fifty billion, one hundred twelve million, one hundred seventy-four thousand, seven hundred twenty".