34032025314 has 128 divisors (see below), whose sum is σ = 91619942400. Its totient is φ = 9140947200.

The previous prime is 34032025309. The next prime is 34032025319. The reversal of 34032025314 is 41352023043.

34032025314 is a `hidden beast` number, since 3 + 4 + 0 + 320 + 25 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (34032025309) and next prime (34032025319).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34032025319) 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, 6751207 + ... + 6756245.

It is an arithmetic number, because the mean of its divisors is an integer number (715780800).

Almost surely, 2^34032025314 is an apocalyptic number.

34032025314 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34032025314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45809971200).

34032025314 is an abundant number, since it is smaller than the sum of its proper divisors (57587917086).

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

34032025314 is a wasteful number, since it uses less digits than its factorization.

34032025314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34032025314 its reverse (41352023043), we get a palindrome (75384048357).

The spelling of 34032025314 in words is "thirty-four billion, thirty-two million, twenty-five thousand, three hundred fourteen".