3878904456 has 128 divisors (see below), whose sum is σ = 12343910400. Its totient is φ = 1105565760.

The previous prime is 3878904439. The next prime is 3878904457. The reversal of 3878904456 is 6544098783.

3878904456 is a `hidden beast` number, since 38 + 78 + 90 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3878904457) 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, 666921 + ... + 672711.

It is an arithmetic number, because the mean of its divisors is an integer number (96436800).

Almost surely, 2^3878904456 is an apocalyptic number.

3878904456 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 3878904456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171955200).

3878904456 is an abundant number, since it is smaller than the sum of its proper divisors (8465005944).

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

3878904456 is a wasteful number, since it uses less digits than its factorization.

3878904456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3878904456 is about 62280.8514392666. The cubic root of 3878904456 is about 1571.2176924452.

The spelling of 3878904456 in words is "three billion, eight hundred seventy-eight million, nine hundred four thousand, four hundred fifty-six".