34123347394560 has 936 divisors, whose sum is σ = 126800317590336. Its totient is φ = 8806025134080.

The previous prime is 34123347394553. The next prime is 34123347394567. The reversal of 34123347394560 is 6549374332143.

It is a happy number.

34123347394560 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 3 + 3 + 4 + 73 + 9 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (34123347394553) and next prime (34123347394567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34123347394497 and 34123347394506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123347394567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1100753141745 + ... + 1100753141775.

It is an arithmetic number, because the mean of its divisors is an integer number (135470424776).

Almost surely, 2^{34123347394560} is an apocalyptic number.

34123347394560 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 34123347394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63400158795168).

34123347394560 is an abundant number, since it is smaller than the sum of its proper divisors (92676970195776).

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

34123347394560 is an frugal number, since it uses more digits than its factorization.

34123347394560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 34123347394560 in words is "thirty-four trillion, one hundred twenty-three billion, three hundred forty-seven million, three hundred ninety-four thousand, five hundred sixty".