349643085120 has 672 divisors, whose sum is σ = 1391711533056. Its totient is φ = 78921216000.

The previous prime is 349643085061. The next prime is 349643085131. The reversal of 349643085120 is 21580346943.

349643085120 is a `hidden beast` number, since 3 + 4 + 96 + 43 + 0 + 8 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1007616787 + ... + 1007617133.

Almost surely, 2^349643085120 is an apocalyptic number.

349643085120 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 349643085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695855766528).

349643085120 is an abundant number, since it is smaller than the sum of its proper divisors (1042068447936).

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

349643085120 is a wasteful number, since it uses less digits than its factorization.

349643085120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 349643085120 in words is "three hundred forty-nine billion, six hundred forty-three million, eighty-five thousand, one hundred twenty".