34031125512 has 224 divisors, whose sum is σ = 97306030080. Its totient is φ = 11151717120.

The previous prime is 34031125507. The next prime is 34031125543. The reversal of 34031125512 is 21552113043.

34031125512 is a `hidden beast` number, since 3 + 403 + 1 + 1 + 255 + 1 + 2 = 666.

It is a super-2 number, since 2×34031125512² (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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152605833 + ... + 152606055.

It is an arithmetic number, because the mean of its divisors is an integer number (434401920).

Almost surely, 2^34031125512 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 34031125512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48653015040).

34031125512 is an abundant number, since it is smaller than the sum of its proper divisors (63274904568).

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

34031125512 is a wasteful number, since it uses less digits than its factorization.

34031125512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 556 counting only the distinct ones).

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

Adding to 34031125512 its reverse (21552113043), we get a palindrome (55583238555).

The spelling of 34031125512 in words is "thirty-four billion, thirty-one million, one hundred twenty-five thousand, five hundred twelve".