34924272448 has 56 divisors (see below), whose sum is σ = 74845898568. Its totient is φ = 16073097216.

The previous prime is 34924272433. The next prime is 34924272463. The reversal of 34924272448 is 84427242943.

It is an interprime number because it is at equal distance from previous prime (34924272433) and next prime (34924272463).

It can be written as a sum of positive squares in 4 ways, for example, as 657819904 + 34266452544 = 25648^2 + 185112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234240 + ... + 353152.

It is an arithmetic number, because the mean of its divisors is an integer number (1336533903).

Almost surely, 2^34924272448 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 34924272448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37422949284).

34924272448 is an abundant number, since it is smaller than the sum of its proper divisors (39921626120).

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

34924272448 is a wasteful number, since it uses less digits than its factorization.

34924272448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119291 (or 119281 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 49.

The spelling of 34924272448 in words is "thirty-four billion, nine hundred twenty-four million, two hundred seventy-two thousand, four hundred forty-eight".