345456014734740 has 384 divisors, whose sum is σ = 1266028214492160. Its totient is φ = 68300360220672.

The previous prime is 345456014734661. The next prime is 345456014734763. The reversal of 345456014734740 is 47437410654543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13129614 + ... + 29381946.

It is an arithmetic number, because the mean of its divisors is an integer number (3296948475240).

Almost surely, 2^{345456014734740} is an apocalyptic number.

345456014734740 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 345456014734740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633014107246080).

345456014734740 is an abundant number, since it is smaller than the sum of its proper divisors (920572199757420).

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

345456014734740 is a wasteful number, since it uses less digits than its factorization.

345456014734740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252611 (or 16252609 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 57.

The spelling of 345456014734740 in words is "three hundred forty-five trillion, four hundred fifty-six billion, fourteen million, seven hundred thirty-four thousand, seven hundred forty".