34140807503748 has 144 divisors (see below), whose sum is σ = 96295453502976. Its totient is φ = 10110999674880.

The previous prime is 34140807503723. The next prime is 34140807503753. The reversal of 34140807503748 is 84730570804143.

34140807503748 is a `hidden beast` number, since 3 + 4 + 14 + 0 + 80 + 7 + 503 + 7 + 48 = 666.

It is a super-4 number, since 4×34140807503748⁴ (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34140807503694 and 34140807503703.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229165 + ... + 8558667.

It is an arithmetic number, because the mean of its divisors is an integer number (668718427104).

Almost surely, 2^{34140807503748} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34140807503748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48147726751488).

34140807503748 is an abundant number, since it is smaller than the sum of its proper divisors (62154645999228).

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

34140807503748 is a wasteful number, since it uses less digits than its factorization.

34140807503748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6329834 (or 6329829 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 34140807503748 in words is "thirty-four trillion, one hundred forty billion, eight hundred seven million, five hundred three thousand, seven hundred forty-eight".