349327883520 has 2880 divisors, whose sum is σ = 1709503488000. Its totient is φ = 67304079360.

The previous prime is 349327883519. The next prime is 349327883537. The reversal of 349327883520 is 25388723943.

349327883520 is a `hidden beast` number, since 3 + 4 + 9 + 32 + 7 + 8 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7432508137 + ... + 7432508183.

It is an arithmetic number, because the mean of its divisors is an integer number (593577600).

Almost surely, 2^349327883520 is an apocalyptic number.

349327883520 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 349327883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854751744000).

349327883520 is an abundant number, since it is smaller than the sum of its proper divisors (1360175604480).

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

349327883520 is a wasteful number, since it uses less digits than its factorization.

349327883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 349327883520 in words is "three hundred forty-nine billion, three hundred twenty-seven million, eight hundred eighty-three thousand, five hundred twenty".