34114067712 has 432 divisors, whose sum is σ = 107807918400. Its totient is φ = 10338140160.

The previous prime is 34114067711. The next prime is 34114067719. The reversal of 34114067712 is 21776041143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114067711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148969614 + ... + 148969842.

Almost surely, 2^34114067712 is an apocalyptic number.

34114067712 is a gapful number since it is divisible by the number (32) 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 34114067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53903959200).

34114067712 is an abundant number, since it is smaller than the sum of its proper divisors (73693850688).

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

34114067712 is a wasteful number, since it uses less digits than its factorization.

34114067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 34114067712 in words is "thirty-four billion, one hundred fourteen million, sixty-seven thousand, seven hundred twelve".