349678264896 has 315 divisors, whose sum is σ = 1066807704963. Its totient is φ = 113252670720.

The previous prime is 349678264879. The next prime is 349678264907. The reversal of 349678264896 is 698462876943.

The square root of 349678264896 is 591336.

It is a perfect power (a square), and thus also a powerful number.

349678264896 is a `hidden beast` number, since 3 + 4 + 9 + 67 + 82 + 6 + 489 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1830776161 + ... + 1830776351.

Almost surely, 2^349678264896 is an apocalyptic number.

349678264896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349678264896 is the 591336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349678264896

349678264896 is an abundant number, since it is smaller than the sum of its proper divisors (717129440067).

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

349678264896 is an frugal number, since it uses more digits than its factorization.

349678264896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 239 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 349678264896 in words is "three hundred forty-nine billion, six hundred seventy-eight million, two hundred sixty-four thousand, eight hundred ninety-six".