3438126504 has 96 divisors (see below), whose sum is σ = 9556747200. Its totient is φ = 1115976960.

The previous prime is 3438126499. The next prime is 3438126539. The reversal of 3438126504 is 4056218343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2605957 + ... + 2607275.

It is an arithmetic number, because the mean of its divisors is an integer number (99549450).

Almost surely, 2^3438126504 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 3438126504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778373600).

3438126504 is an abundant number, since it is smaller than the sum of its proper divisors (6118620696).

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

3438126504 is a wasteful number, since it uses less digits than its factorization.

3438126504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3438126504 is about 58635.5395984381. The cubic root of 3438126504 is about 1509.2943655650.

The spelling of 3438126504 in words is "three billion, four hundred thirty-eight million, one hundred twenty-six thousand, five hundred four".