3984534400 has 384 divisors, whose sum is σ = 12469916160. Its totient is φ = 1222041600.

The previous prime is 3984534397. The next prime is 3984534473. The reversal of 3984534400 is 44354893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 25379122 + ... + 25379278.

It is an arithmetic number, because the mean of its divisors is an integer number (32473740).

Almost surely, 2^3984534400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234958080).

3984534400 is an abundant number, since it is smaller than the sum of its proper divisors (8485381760).

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

3984534400 is a wasteful number, since it uses less digits than its factorization.

3984534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 3984534400 is about 63123.1684882817. The cubic root of 3984534400 is about 1585.3525671324.

The spelling of 3984534400 in words is "three billion, nine hundred eighty-four million, five hundred thirty-four thousand, four hundred".