3984935647200 has 216 divisors, whose sum is σ = 13402888894584. Its totient is φ = 1028369894400.

The previous prime is 3984935647193. The next prime is 3984935647321. The reversal of 3984935647200 is 27465394893.

It is a super-2 number, since 2×3984935647200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1442514 + ... + 3170286.

It is an arithmetic number, because the mean of its divisors is an integer number (62050411549).

Almost surely, 2^{3984935647200} is an apocalyptic number.

3984935647200 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 3984935647200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6701444447292).

3984935647200 is an abundant number, since it is smaller than the sum of its proper divisors (9417953247384).

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

3984935647200 is a wasteful number, since it uses less digits than its factorization.

3984935647200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727858 (or 1727814 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 3984935647200 in words is "three trillion, nine hundred eighty-four billion, nine hundred thirty-five million, six hundred forty-seven thousand, two hundred".