3438268860 has 96 divisors (see below), whose sum is σ = 10396818432. Its totient is φ = 843966720.

The previous prime is 3438268811. The next prime is 3438268891. The reversal of 3438268860 is 688628343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280255 + ... + 292265.

It is an arithmetic number, because the mean of its divisors is an integer number (108300192).

Almost surely, 2^3438268860 is an apocalyptic number.

3438268860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3438268860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198409216).

3438268860 is an abundant number, since it is smaller than the sum of its proper divisors (6958549572).

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

3438268860 is a wasteful number, since it uses less digits than its factorization.

3438268860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12403 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 3438268860 is about 58636.7534913044. The cubic root of 3438268860 is about 1509.3151961096.

The spelling of 3438268860 in words is "three billion, four hundred thirty-eight million, two hundred sixty-eight thousand, eight hundred sixty".