3389617872 has 120 divisors (see below), whose sum is σ = 9823656960. Its totient is φ = 1089918720.

The previous prime is 3389617853. The next prime is 3389617877. The reversal of 3389617872 is 2787169833.

It is a super-2 number, since 2×3389617872² = 22979018636363616768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389617877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1637254 + ... + 1639322.

It is an arithmetic number, because the mean of its divisors is an integer number (81863808).

Almost surely, 2^3389617872 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 3389617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911828480).

3389617872 is an abundant number, since it is smaller than the sum of its proper divisors (6434039088).

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

3389617872 is a wasteful number, since it uses less digits than its factorization.

3389617872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2472 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 3389617872 is about 58220.4248696280. The cubic root of 3389617872 is about 1502.1624915886.

The spelling of 3389617872 in words is "three billion, three hundred eighty-nine million, six hundred seventeen thousand, eight hundred seventy-two".