34001544312 has 160 divisors (see below), whose sum is σ = 97010094720. Its totient is φ = 11123956800.

The previous prime is 34001544307. The next prime is 34001544323. The reversal of 34001544312 is 21344510043.

It is a happy number.

34001544312 is a `hidden beast` number, since 340 + 0 + 1 + 5 + 4 + 4 + 312 = 666.

It is a super-2 number, since 2×34001544312² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13327437 + ... + 13329987.

It is an arithmetic number, because the mean of its divisors is an integer number (606313092).

Almost surely, 2^34001544312 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 34001544312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48505047360).

34001544312 is an abundant number, since it is smaller than the sum of its proper divisors (63008550408).

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

34001544312 is a wasteful number, since it uses less digits than its factorization.

34001544312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 34001544312 in words is "thirty-four billion, one million, five hundred forty-four thousand, three hundred twelve".