349956696612600 has 1920 divisors, whose sum is σ = 1573768743782400. Its totient is φ = 69966326707200.

The previous prime is 349956696612581. The next prime is 349956696612617. The reversal of 349956696612600 is 6216696659943.

It is a happy number.

349956696612600 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 5 + 6 + 6 + 9 + 6 + 6 + 1 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3593710711 + ... + 3593808089.

It is an arithmetic number, because the mean of its divisors is an integer number (819671220720).

Almost surely, 2^{349956696612600} is an apocalyptic number.

349956696612600 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 349956696612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786884371891200).

349956696612600 is an abundant number, since it is smaller than the sum of its proper divisors (1223812047169800).

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

349956696612600 is a wasteful number, since it uses less digits than its factorization.

349956696612600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97535 (or 97517 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 72.

The spelling of 349956696612600 in words is "three hundred forty-nine trillion, nine hundred fifty-six billion, six hundred ninety-six million, six hundred twelve thousand, six hundred".