34214307512 has 144 divisors (see below), whose sum is σ = 82003150320. Its totient is φ = 13097652480.

The previous prime is 34214307511. The next prime is 34214307539. The reversal of 34214307512 is 21570341243.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214307511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130092293 + ... + 130092555.

Almost surely, 2^34214307512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34214307512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41001575160).

34214307512 is an abundant number, since it is smaller than the sum of its proper divisors (47788842808).

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

34214307512 is a wasteful number, since it uses less digits than its factorization.

34214307512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 34214307512 its reverse (21570341243), we get a palindrome (55784648755).

The spelling of 34214307512 in words is "thirty-four billion, two hundred fourteen million, three hundred seven thousand, five hundred twelve".