349250853600 has 576 divisors, whose sum is σ = 1383121474560. Its totient is φ = 84349440000.

The previous prime is 349250853563. The next prime is 349250853613. The reversal of 349250853600 is 6358052943.

349250853600 is a `hidden beast` number, since 3 + 4 + 92 + 508 + 53 + 6 + 0 + 0 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 66762985 + ... + 66768215.

It is an arithmetic number, because the mean of its divisors is an integer number (2401252560).

Almost surely, 2^349250853600 is an apocalyptic number.

349250853600 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 349250853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691560737280).

349250853600 is an abundant number, since it is smaller than the sum of its proper divisors (1033870620960).

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

349250853600 is a wasteful number, since it uses less digits than its factorization.

349250853600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5533 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 349250853600 in words is "three hundred forty-nine billion, two hundred fifty million, eight hundred fifty-three thousand, six hundred".