3438137928 has 64 divisors (see below), whose sum is σ = 8804885760. Its totient is φ = 1118166336.

The previous prime is 3438137921. The next prime is 3438137929. The reversal of 3438137928 is 8297318343.

3438137928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3438137921) 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, 1801951 + ... + 1803857.

It is an arithmetic number, because the mean of its divisors is an integer number (137576340).

Almost surely, 2^3438137928 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 3438137928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402442880).

3438137928 is an abundant number, since it is smaller than the sum of its proper divisors (5366747832).

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

3438137928 is a wasteful number, since it uses less digits than its factorization.

3438137928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3702 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 3438137928 is about 58635.6370136797. The cubic root of 3438137928 is about 1509.2960372273.

The spelling of 3438137928 in words is "three billion, four hundred thirty-eight million, one hundred thirty-seven thousand, nine hundred twenty-eight".