34513878870000 has 1000 divisors, whose sum is σ = 127353040356960. Its totient is φ = 9019019520000.

The previous prime is 34513878869993. The next prime is 34513878870007. The reversal of 34513878870000 is 7887831543.

It is an interprime number because it is at equal distance from previous prime (34513878869993) and next prime (34513878870007).

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-4 number, since 4×34513878870000⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513878870007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9949228266 + ... + 9949231734.

Almost surely, 2^{34513878870000} is an apocalyptic number.

34513878870000 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 34513878870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63676520178480).

34513878870000 is an abundant number, since it is smaller than the sum of its proper divisors (92839161486960).

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

34513878870000 is a wasteful number, since it uses less digits than its factorization.

34513878870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 34513878870000 in words is "thirty-four trillion, five hundred thirteen billion, eight hundred seventy-eight million, eight hundred seventy thousand".