3438474624 has 320 divisors, whose sum is σ = 11175927840. Its totient is φ = 1043103744.

The previous prime is 3438474623. The next prime is 3438474643. The reversal of 3438474624 is 4264748343.

3438474624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (1548288) is a multiple of the sum of its prime divisors (378).

It is a self number, because there is not a number n which added to its sum of digits gives 3438474624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438474623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13073917 + ... + 13074179.

Almost surely, 2^3438474624 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 3438474624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587963920).

3438474624 is an abundant number, since it is smaller than the sum of its proper divisors (7737453216).

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

3438474624 is a wasteful number, since it uses less digits than its factorization.

3438474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 378 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The square root of 3438474624 is about 58638.5080301332. The cubic root of 3438474624 is about 1509.3453039488.

The spelling of 3438474624 in words is "three billion, four hundred thirty-eight million, four hundred seventy-four thousand, six hundred twenty-four".