3882800430 has 192 divisors, whose sum is σ = 11063070720. Its totient is φ = 941740800.

The previous prime is 3882800429. The next prime is 3882800477. The reversal of 3882800430 is 340082883.

It is a happy number.

It is a super-2 number, since 2×3882800430² = 30152278358416369800, which contains 22 as substring.

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, 4261675 + ... + 4262585.

It is an arithmetic number, because the mean of its divisors is an integer number (57620160).

Almost surely, 2^3882800430 is an apocalyptic number.

3882800430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3882800430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531535360).

3882800430 is an abundant number, since it is smaller than the sum of its proper divisors (7180270290).

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

3882800430 is a wasteful number, since it uses less digits than its factorization.

3882800430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3882800430 is about 62312.1210520072. The cubic root of 3882800430 is about 1571.7435604265.

The spelling of 3882800430 in words is "three billion, eight hundred eighty-two million, eight hundred thousand, four hundred thirty".