3384878400 has 252 divisors, whose sum is σ = 12357754812. Its totient is φ = 878100480.

The previous prime is 3384878389. The next prime is 3384878459. The reversal of 3384878400 is 48784833.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14379264 + 3370499136 = 3792^2 + 58056^2 .

It is a super-2 number, since 2×3384878400² = 22914803565573120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 529624 + ... + 535976.

Almost surely, 2^3384878400 is an apocalyptic number.

3384878400 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 3384878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6178877406).

3384878400 is an abundant number, since it is smaller than the sum of its proper divisors (8972876412).

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

3384878400 is a wasteful number, since it uses less digits than its factorization.

3384878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3384878400 is about 58179.7078026351. The cubic root of 3384878400 is about 1501.4620411608.

The spelling of 3384878400 in words is "three billion, three hundred eighty-four million, eight hundred seventy-eight thousand, four hundred".