347121745920 has 512 divisors, whose sum is σ = 1245689280000. Its totient is φ = 91705835520.

The previous prime is 347121745909. The next prime is 347121745921. The reversal of 347121745920 is 29547121743.

347121745920 is a `hidden beast` number, since 3 + 47 + 1 + 2 + 17 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347121745921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579501781 + ... + 579502379.

It is an arithmetic number, because the mean of its divisors is an integer number (2432986875).

Almost surely, 2^347121745920 is an apocalyptic number.

347121745920 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 347121745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622844640000).

347121745920 is an abundant number, since it is smaller than the sum of its proper divisors (898567534080).

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

347121745920 is an equidigital number, since it uses as much as digits as its factorization.

347121745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 347121745920 in words is "three hundred forty-seven billion, one hundred twenty-one million, seven hundred forty-five thousand, nine hundred twenty".