34025131338 has 64 divisors (see below), whose sum is σ = 78732103680. Its totient is φ = 9688262400.

The previous prime is 34025131279. The next prime is 34025131367. The reversal of 34025131338 is 83313152043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34025131299 and 34025131308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670023 + ... + 719013.

It is an arithmetic number, because the mean of its divisors is an integer number (1230189120).

Almost surely, 2^34025131338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34025131338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39366051840).

34025131338 is an abundant number, since it is smaller than the sum of its proper divisors (44706972342).

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

34025131338 is a wasteful number, since it uses less digits than its factorization.

34025131338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49643.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 34025131338 in words is "thirty-four billion, twenty-five million, one hundred thirty-one thousand, three hundred thirty-eight".