3384209920 has 320 divisors, whose sum is σ = 10174348800. Its totient is φ = 1051066368.

The previous prime is 3384209887. The next prime is 3384209923. The reversal of 3384209920 is 299024833.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3384209920² = 22905753565252812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3384209923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17005981 + ... + 17006179.

It is an arithmetic number, because the mean of its divisors is an integer number (31794840).

Almost surely, 2^3384209920 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 3384209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087174400).

3384209920 is an abundant number, since it is smaller than the sum of its proper divisors (6790138880).

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

3384209920 is a wasteful number, since it uses less digits than its factorization.

3384209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 3384209920 is about 58173.9625605820. The cubic root of 3384209920 is about 1501.3631933532.

The spelling of 3384209920 in words is "three billion, three hundred eighty-four million, two hundred nine thousand, nine hundred twenty".