34348741079040 has 780 divisors, whose sum is σ = 130802484749376. Its totient is φ = 8620740182016.

The previous prime is 34348741079039. The next prime is 34348741079201. The reversal of 34348741079040 is 4097014784343.

It is a happy number.

34348741079040 is a `hidden beast` number, since 3 + 4 + 348 + 74 + 107 + 90 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 479380497 + ... + 479452143.

Almost surely, 2^{34348741079040} is an apocalyptic number.

34348741079040 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 34348741079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65401242374688).

34348741079040 is an abundant number, since it is smaller than the sum of its proper divisors (96453743670336).

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

34348741079040 is an equidigital number, since it uses as much as digits as its factorization.

34348741079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71722 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 34348741079040 in words is "thirty-four trillion, three hundred forty-eight billion, seven hundred forty-one million, seventy-nine thousand, forty".