3442872888 has 288 divisors, whose sum is σ = 11766605760. Its totient is φ = 901393920.

The previous prime is 3442872877. The next prime is 3442872889. The reversal of 3442872888 is 8882782443.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442872889) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12429006 + ... + 12429282.

It is an arithmetic number, because the mean of its divisors is an integer number (40856270).

Almost surely, 2^3442872888 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 3442872888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883302880).

3442872888 is an abundant number, since it is smaller than the sum of its proper divisors (8323732872).

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

3442872888 is a wasteful number, since it uses less digits than its factorization.

3442872888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The square root of 3442872888 is about 58675.9992501193. Note that the first 3 decimals coincide. The cubic root of 3442872888 is about 1509.9885805314.

The spelling of 3442872888 in words is "three billion, four hundred forty-two million, eight hundred seventy-two thousand, eight hundred eighty-eight".