3984003597600 has 2880 divisors, whose sum is σ = 17557980279840. Its totient is φ = 869518540800.

The previous prime is 3984003597599. The next prime is 3984003597641. The reversal of 3984003597600 is 67953004893.

3984003597600 is a `hidden beast` number, since 3 + 9 + 8 + 40 + 0 + 3 + 597 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 2033053925904 + 1950949671696 = 1425852^2 + 1396764^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 22011069510 + ... + 22011069690.

Almost surely, 2^{3984003597600} is an apocalyptic number.

3984003597600 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 3984003597600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778990139920).

3984003597600 is an abundant number, since it is smaller than the sum of its proper divisors (13573976682240).

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

3984003597600 is a wasteful number, since it uses less digits than its factorization.

3984003597600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3984003597600 in words is "three trillion, nine hundred eighty-four billion, three million, five hundred ninety-seven thousand, six hundred".