349269822720 has 720 divisors, whose sum is σ = 1538196992640. Its totient is φ = 73690103808.

The previous prime is 349269822703. The next prime is 349269822829. The reversal of 349269822720 is 27228962943.

349269822720 is a `hidden beast` number, since 3 + 492 + 6 + 9 + 82 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9416371 + ... + 9453389.

It is an arithmetic number, because the mean of its divisors is an integer number (2136384712).

Almost surely, 2^349269822720 is an apocalyptic number.

349269822720 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 349269822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769098496320).

349269822720 is an abundant number, since it is smaller than the sum of its proper divisors (1188927169920).

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

349269822720 is a wasteful number, since it uses less digits than its factorization.

349269822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37072 (or 37049 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 349269822720 in words is "three hundred forty-nine billion, two hundred sixty-nine million, eight hundred twenty-two thousand, seven hundred twenty".