349001108352 has 256 divisors, whose sum is σ = 1121748264000. Its totient is φ = 106177167360.

The previous prime is 349001108347. The next prime is 349001108381. The reversal of 349001108352 is 253801100943.

349001108352 is a `hidden beast` number, since 3 + 490 + 0 + 110 + 8 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 3954952 + ... + 4042232.

Almost surely, 2^349001108352 is an apocalyptic number.

349001108352 is a gapful number since it is divisible by the number (32) 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 349001108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560874132000).

349001108352 is an abundant number, since it is smaller than the sum of its proper divisors (772747155648).

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

349001108352 is a wasteful number, since it uses less digits than its factorization.

349001108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87406 (or 87388 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 349001108352 in words is "three hundred forty-nine billion, one million, one hundred eight thousand, three hundred fifty-two".