349479417600 has 1296 divisors, whose sum is σ = 1416291851520. Its totient is φ = 81749606400.

The previous prime is 349479417593. The next prime is 349479417607. The reversal of 349479417600 is 6714974943.

349479417600 is a `hidden beast` number, since 3 + 494 + 7 + 94 + 1 + 7 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349479417593) and next prime (349479417607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349479417607) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 880300602 + ... + 880300998.

Almost surely, 2^349479417600 is an apocalyptic number.

349479417600 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 349479417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708145925760).

349479417600 is an abundant number, since it is smaller than the sum of its proper divisors (1066812433920).

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

349479417600 is a wasteful number, since it uses less digits than its factorization.

349479417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 349479417600 in words is "three hundred forty-nine billion, four hundred seventy-nine million, four hundred seventeen thousand, six hundred".