3384871776 has 144 divisors (see below), whose sum is σ = 11308686480. Its totient is φ = 946805760.

The previous prime is 3384871759. The next prime is 3384871781. The reversal of 3384871776 is 6771784833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3384871776² = 22914713879922788352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90 + ... + 82278.

It is an arithmetic number, because the mean of its divisors is an integer number (78532545).

Almost surely, 2^3384871776 is an apocalyptic number.

3384871776 is a gapful number since it is divisible by the number (36) 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 3384871776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654343240).

3384871776 is an abundant number, since it is smaller than the sum of its proper divisors (7923814704).

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

3384871776 is a wasteful number, since it uses less digits than its factorization.

3384871776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82229 (or 82218 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 3384871776 is about 58179.6508755424. The cubic root of 3384871776 is about 1501.4610617370.

The spelling of 3384871776 in words is "three billion, three hundred eighty-four million, eight hundred seventy-one thousand, seven hundred seventy-six".