3384864000 has 864 divisors, whose sum is σ = 14723864064. Its totient is φ = 729907200.

The previous prime is 3384863939. The next prime is 3384864017. The reversal of 3384864000 is 4684833.

3384864000 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 8 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×3384864000² = 22914608596992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46367964 + ... + 46368036.

Almost surely, 2^3384864000 is an apocalyptic number.

3384864000 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 3384864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361932032).

3384864000 is an abundant number, since it is smaller than the sum of its proper divisors (11339000064).

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

3384864000 is a wasteful number, since it uses less digits than its factorization.

3384864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3384864000 is about 58179.5840480146. The cubic root of 3384864000 is about 1501.4599119770.

The spelling of 3384864000 in words is "three billion, three hundred eighty-four million, eight hundred sixty-four thousand".