3984115200 has 480 divisors, whose sum is σ = 14832550656. Its totient is φ = 935362560.

The previous prime is 3984115199. The next prime is 3984115211. The reversal of 3984115200 is 25114893.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11481427 + ... + 11481773.

Almost surely, 2^3984115200 is an apocalyptic number.

3984115200 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 3984115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416275328).

3984115200 is an abundant number, since it is smaller than the sum of its proper divisors (10848435456).

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

3984115200 is a wasteful number, since it uses less digits than its factorization.

3984115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3984115200 is about 63119.8479085620. The cubic root of 3984115200 is about 1585.2969685742.

The spelling of 3984115200 in words is "three billion, nine hundred eighty-four million, one hundred fifteen thousand, two hundred".