34314113542740 has 192 divisors, whose sum is σ = 103896982022400. Its totient is φ = 8429599825920.

The previous prime is 34314113542739. The next prime is 34314113542771. The reversal of 34314113542740 is 4724531141343.

It is a junction number, because it is equal to n+sod(n) for n = 34314113542692 and 34314113542701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22005411 + ... + 23513109.

It is an arithmetic number, because the mean of its divisors is an integer number (541130114700).

Almost surely, 2^{34314113542740} is an apocalyptic number.

34314113542740 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 34314113542740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948491011200).

34314113542740 is an abundant number, since it is smaller than the sum of its proper divisors (69582868479660).

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

34314113542740 is a wasteful number, since it uses less digits than its factorization.

34314113542740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508202 (or 1508200 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 34314113542740 in words is "thirty-four trillion, three hundred fourteen billion, one hundred thirteen million, five hundred forty-two thousand, seven hundred forty".