34244029512 has 384 divisors, whose sum is σ = 120011673600. Its totient is φ = 8563276800.

The previous prime is 34244029511. The next prime is 34244029537. The reversal of 34244029512 is 21592044243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34244029511) 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, 17956063 + ... + 17957969.

It is an arithmetic number, because the mean of its divisors is an integer number (312530400).

Almost surely, 2^34244029512 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 34244029512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60005836800).

34244029512 is an abundant number, since it is smaller than the sum of its proper divisors (85767644088).

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

34244029512 is a wasteful number, since it uses less digits than its factorization.

34244029512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 34244029512 in words is "thirty-four billion, two hundred forty-four million, twenty-nine thousand, five hundred twelve".