3882999600 has 480 divisors, whose sum is σ = 14760960000. Its totient is φ = 966712320.

The previous prime is 3882999583. The next prime is 3882999607. The reversal of 3882999600 is 69992883.

3882999600 is a `hidden beast` number, since 3 + 8 + 8 + 29 + 9 + 9 + 600 = 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 (3882999607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26060326 + ... + 26060474.

It is an arithmetic number, because the mean of its divisors is an integer number (30752000).

Almost surely, 2^3882999600 is an apocalyptic number.

3882999600 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 3882999600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480000).

3882999600 is an abundant number, since it is smaller than the sum of its proper divisors (10877960400).

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

3882999600 is a wasteful number, since it uses less digits than its factorization.

3882999600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 3882999600 is about 62313.7191956956. The cubic root of 3882999600 is about 1571.7704343987.

The spelling of 3882999600 in words is "three billion, eight hundred eighty-two million, nine hundred ninety-nine thousand, six hundred".