3339878400 has 384 divisors, whose sum is σ = 12352036800. Its totient is φ = 884736000.

The previous prime is 3339878393. The next prime is 3339878401. The reversal of 3339878400 is 48789333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3339878400² = 22309575453573120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3339878401) 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, 22118325 + ... + 22118475.

Almost surely, 2^3339878400 is an apocalyptic number.

3339878400 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 3339878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176018400).

3339878400 is an abundant number, since it is smaller than the sum of its proper divisors (9012158400).

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

3339878400 is an equidigital number, since it uses as much as digits as its factorization.

3339878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3339878400 is about 57791.6810622429. The cubic root of 3339878400 is about 1494.7786460639.

The spelling of 3339878400 in words is "three billion, three hundred thirty-nine million, eight hundred seventy-eight thousand, four hundred".