349666878369600 has 4536 divisors, whose sum is σ = 1529063316166464. Its totient is φ = 77893871616000.

The previous prime is 349666878369583. The next prime is 349666878369607. The reversal of 349666878369600 is 6963878666943.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 349666878369600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349666878369607) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 2552312980732 + ... + 2552312980868.

Almost surely, 2^{349666878369600} is an apocalyptic number.

349666878369600 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 349666878369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764531658083232).

349666878369600 is an abundant number, since it is smaller than the sum of its proper divisors (1179396437796864).

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

349666878369600 is a wasteful number, since it uses less digits than its factorization.

349666878369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 81.

The spelling of 349666878369600 in words is "three hundred forty-nine trillion, six hundred sixty-six billion, eight hundred seventy-eight million, three hundred sixty-nine thousand, six hundred".