34235877312 has 672 divisors, whose sum is σ = 132710602752. Its totient is φ = 8492138496.

The previous prime is 34235877283. The next prime is 34235877317. The reversal of 34235877312 is 21377853243.

It is a happy number.

34235877312 is a `hidden beast` number, since 34 + 2 + 3 + 587 + 7 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235877317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24058233 + ... + 24059655.

It is an arithmetic number, because the mean of its divisors is an integer number (197486016).

Almost surely, 2^34235877312 is an apocalyptic number.

34235877312 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 34235877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355301376).

34235877312 is an abundant number, since it is smaller than the sum of its proper divisors (98474725440).

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

34235877312 is a wasteful number, since it uses less digits than its factorization.

34235877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1465 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

It can be divided in two parts, 3423 and 5877312, that added together give a triangular number (5880735 = T₃₄₂₉).

The spelling of 34235877312 in words is "thirty-four billion, two hundred thirty-five million, eight hundred seventy-seven thousand, three hundred twelve".