34412443248 has 80 divisors (see below), whose sum is σ = 89816751360. Its totient is φ = 11352671232.

The previous prime is 34412443201. The next prime is 34412443249. The reversal of 34412443248 is 84234421443.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34412443249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4025763 + ... + 4034301.

It is an arithmetic number, because the mean of its divisors is an integer number (1122709392).

Almost surely, 2^34412443248 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 34412443248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44908375680).

34412443248 is an abundant number, since it is smaller than the sum of its proper divisors (55404308112).

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

34412443248 is a wasteful number, since it uses less digits than its factorization.

34412443248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9406 (or 9400 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

The spelling of 34412443248 in words is "thirty-four billion, four hundred twelve million, four hundred forty-three thousand, two hundred forty-eight".