349904398233600 has 4914 divisors, whose sum is σ = 1612390002093204. Its totient is φ = 75046138675200.

The previous prime is 349904398233589. The next prime is 349904398233623. The reversal of 349904398233600 is 6332893409943.

349904398233600 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 0 + 4 + 398 + 233 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 1057112985435 + ... + 1057112985765.

Almost surely, 2^{349904398233600} is an apocalyptic number.

349904398233600 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 349904398233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806195001046602).

349904398233600 is an abundant number, since it is smaller than the sum of its proper divisors (1262485603859604).

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

349904398233600 is an equidigital number, since it uses as much as digits as its factorization.

349904398233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 63.

The spelling of 349904398233600 in words is "three hundred forty-nine trillion, nine hundred four billion, three hundred ninety-eight million, two hundred thirty-three thousand, six hundred".