349925627520 has 384 divisors, whose sum is σ = 1401578605440. Its totient is φ = 78788616192.

The previous prime is 349925627509. The next prime is 349925627641. The reversal of 349925627520 is 25726529943.

349925627520 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 2 + 5 + 627 + 5 + 2 + 0 = 666.

349925627520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2636674 + ... + 2766206.

It is an arithmetic number, because the mean of its divisors is an integer number (3649944285).

Almost surely, 2^349925627520 is an apocalyptic number.

349925627520 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 349925627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700789302720).

349925627520 is an abundant number, since it is smaller than the sum of its proper divisors (1051652977920).

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

349925627520 is a wasteful number, since it uses less digits than its factorization.

349925627520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129632 (or 129617 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 349925627520 in words is "three hundred forty-nine billion, nine hundred twenty-five million, six hundred twenty-seven thousand, five hundred twenty".