347042970120 has 1536 divisors, whose sum is σ = 1507250073600. Its totient is φ = 62224588800.

The previous prime is 347042970083. The next prime is 347042970181. The reversal of 347042970120 is 21079240743.

It is a super-2 number, since 2×347042970120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11194934505 + ... + 11194934535.

It is an arithmetic number, because the mean of its divisors is an integer number (981282600).

Almost surely, 2^347042970120 is an apocalyptic number.

347042970120 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 347042970120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753625036800).

347042970120 is an abundant number, since it is smaller than the sum of its proper divisors (1160207103480).

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

347042970120 is a wasteful number, since it uses less digits than its factorization.

347042970120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 347042970120 in words is "three hundred forty-seven billion, forty-two million, nine hundred seventy thousand, one hundred twenty".