349914550723920 has 1920 divisors, whose sum is σ = 1565511675840000. Its totient is φ = 71119928033280.

The previous prime is 349914550723909. The next prime is 349914550723937. The reversal of 349914550723920 is 29327055419943.

349914550723920 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 1 + 4 + 550 + 72 + 3 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17915844555 + ... + 17915864085.

It is an arithmetic number, because the mean of its divisors is an integer number (815370664500).

Almost surely, 2^{349914550723920} is an apocalyptic number.

349914550723920 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 349914550723920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782755837920000).

349914550723920 is an abundant number, since it is smaller than the sum of its proper divisors (1215597125116080).

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

349914550723920 is a wasteful number, since it uses less digits than its factorization.

349914550723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20058 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 349914550723920 in words is "three hundred forty-nine trillion, nine hundred fourteen billion, five hundred fifty million, seven hundred twenty-three thousand, nine hundred twenty".