34110665040 has 320 divisors, whose sum is σ = 116702530560. Its totient is φ = 8209797120.

The previous prime is 34110665033. The next prime is 34110665047. The reversal of 34110665040 is 4056601143.

It is an interprime number because it is at equal distance from previous prime (34110665033) and next prime (34110665047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34110664989 and 34110665007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34110665047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8037159 + ... + 8041401.

It is an arithmetic number, because the mean of its divisors is an integer number (364695408).

Almost surely, 2^34110665040 is an apocalyptic number.

34110665040 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 34110665040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58351265280).

34110665040 is an abundant number, since it is smaller than the sum of its proper divisors (82591865520).

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

34110665040 is a wasteful number, since it uses less digits than its factorization.

34110665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 34110665040 in words is "thirty-four billion, one hundred ten million, six hundred sixty-five thousand, forty".