3438763040 has 96 divisors (see below), whose sum is σ = 8488198656. Its totient is φ = 1314938880.

The previous prime is 3438762991. The next prime is 3438763049. The reversal of 3438763040 is 403678343.

It is a happy number.

3438763040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3438762985 and 3438763003.

It is not an unprimeable number, because it can be changed into a prime (3438763049) 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, 407504 + ... + 415856.

It is an arithmetic number, because the mean of its divisors is an integer number (88418736).

Almost surely, 2^3438763040 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 3438763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244099328).

3438763040 is an abundant number, since it is smaller than the sum of its proper divisors (5049435616).

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

3438763040 is a wasteful number, since it uses less digits than its factorization.

3438763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8482 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 3438763040 is about 58640.9672498672. The cubic root of 3438763040 is about 1509.3875035878.

The spelling of 3438763040 in words is "three billion, four hundred thirty-eight million, seven hundred sixty-three thousand, forty".