347979340800 has 1188 divisors, whose sum is σ = 1561494521496. Its totient is φ = 73388851200.

The previous prime is 347979340799. The next prime is 347979340817. The reversal of 347979340800 is 8043979743.

347979340800 is a `hidden beast` number, since 3 + 479 + 7 + 93 + 4 + 0 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146763615 + ... + 146765985.

Almost surely, 2^347979340800 is an apocalyptic number.

347979340800 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 347979340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780747260748).

347979340800 is an abundant number, since it is smaller than the sum of its proper divisors (1213515180696).

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

347979340800 is a wasteful number, since it uses less digits than its factorization.

347979340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2401 counting only the distinct ones).

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

The spelling of 347979340800 in words is "three hundred forty-seven billion, nine hundred seventy-nine million, three hundred forty thousand, eight hundred".