3985274400 has 432 divisors, whose sum is σ = 14066037216. Its totient is φ = 979292160.

The previous prime is 3985274399. The next prime is 3985274407. The reversal of 3985274400 is 44725893.

It is not an unprimeable number, because it can be changed into a prime (3985274407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54592764 + ... + 54592836.

Almost surely, 2^3985274400 is an apocalyptic number.

3985274400 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 3985274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033018608).

3985274400 is an abundant number, since it is smaller than the sum of its proper divisors (10080762816).

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

3985274400 is a wasteful number, since it uses less digits than its factorization.

3985274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3985274400 is about 63129.0297723638. The cubic root of 3985274400 is about 1585.4507039253.

The spelling of 3985274400 in words is "three billion, nine hundred eighty-five million, two hundred seventy-four thousand, four hundred".