34025131512 has 160 divisors (see below), whose sum is σ = 100002782880. Its totient is φ = 10787800320.

The previous prime is 34025131507. The next prime is 34025131519. The reversal of 34025131512 is 21513152043.

34025131512 is a `hidden beast` number, since 340 + 2 + 5 + 1 + 315 + 1 + 2 = 666.

It is a super-2 number, since 2×34025131512² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025131519) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2691318 + ... + 2703930.

It is an arithmetic number, because the mean of its divisors is an integer number (625017393).

Almost surely, 2^34025131512 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 34025131512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50001391440).

34025131512 is an abundant number, since it is smaller than the sum of its proper divisors (65977651368).

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

34025131512 is a wasteful number, since it uses less digits than its factorization.

34025131512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12822 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 34025131512 its reverse (21513152043), we get a palindrome (55538283555).

It can be divided in two parts, 3402513 and 1512, that added together give a square (3404025 = 1845²).

The spelling of 34025131512 in words is "thirty-four billion, twenty-five million, one hundred thirty-one thousand, five hundred twelve".