3982506393600 has 1224 divisors, whose sum is σ = 16919819076160. Its totient is φ = 909650165760.

The previous prime is 3982506393581. The next prime is 3982506393659. The reversal of 3982506393600 is 63936052893.

3982506393600 is a `hidden beast` number, since 3 + 9 + 8 + 25 + 0 + 6 + 3 + 9 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2786917686 + ... + 2786919114.

Almost surely, 2^{3982506393600} is an apocalyptic number.

3982506393600 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 3982506393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8459909538080).

3982506393600 is an abundant number, since it is smaller than the sum of its proper divisors (12937312682560).

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

3982506393600 is an frugal number, since it uses more digits than its factorization.

3982506393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 3982506393600 in words is "three trillion, nine hundred eighty-two billion, five hundred six million, three hundred ninety-three thousand, six hundred".