349228091520 has 896 divisors, whose sum is σ = 1560768324480. Its totient is φ = 72559411200.

The previous prime is 349228091519. The next prime is 349228091533. The reversal of 349228091520 is 25190822943.

349228091520 is a `hidden beast` number, since 3 + 49 + 2 + 2 + 80 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35920260 + ... + 35929980.

Almost surely, 2^349228091520 is an apocalyptic number.

349228091520 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 349228091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780384162240).

349228091520 is an abundant number, since it is smaller than the sum of its proper divisors (1211540232960).

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

349228091520 is an equidigital number, since it uses as much as digits as its factorization.

349228091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 349228091520 in words is "three hundred forty-nine billion, two hundred twenty-eight million, ninety-one thousand, five hundred twenty".