34440001038 has 80 divisors (see below), whose sum is σ = 81897940080. Its totient is φ = 10779934464.

The previous prime is 34440001033. The next prime is 34440001067. The reversal of 34440001038 is 83010004443.

It is a super-2 number, since 2×34440001038² (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 (34440001033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1205908 + ... + 1234136.

It is an arithmetic number, because the mean of its divisors is an integer number (1023724251).

Almost surely, 2^34440001038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34440001038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40948970040).

34440001038 is an abundant number, since it is smaller than the sum of its proper divisors (47457939042).

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

34440001038 is a wasteful number, since it uses less digits than its factorization.

34440001038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28703 (or 28694 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 34440001038 in words is "thirty-four billion, four hundred forty million, one thousand, thirty-eight".