3438135792 has 240 divisors, whose sum is σ = 12045895680. Its totient is φ = 891191808.

The previous prime is 3438135791. The next prime is 3438135859. The reversal of 3438135792 is 2975318343.

3438135792 is a `hidden beast` number, since 34 + 38 + 13 + 579 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438135791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770913 + ... + 775359.

It is an arithmetic number, because the mean of its divisors is an integer number (50191232).

Almost surely, 2^3438135792 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 3438135792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022947840).

3438135792 is an abundant number, since it is smaller than the sum of its proper divisors (8607759888).

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

3438135792 is a wasteful number, since it uses less digits than its factorization.

3438135792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4531 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3438135792 is about 58635.6187994976. The cubic root of 3438135792 is about 1509.2957246689.

The spelling of 3438135792 in words is "three billion, four hundred thirty-eight million, one hundred thirty-five thousand, seven hundred ninety-two".