3993596006400 has 4680 divisors, whose sum is σ = 20511145220544. Its totient is φ = 745301606400.

The previous prime is 3993596006371. The next prime is 3993596006453. The reversal of 3993596006400 is 46006953993.

3993596006400 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 596 + 0 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 107935027182 + ... + 107935027218.

Almost surely, 2^{3993596006400} is an apocalyptic number.

3993596006400 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 3993596006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10255572610272).

3993596006400 is an abundant number, since it is smaller than the sum of its proper divisors (16517549214144).

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

3993596006400 is a wasteful number, since it uses less digits than its factorization.

3993596006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 3993596006400 in words is "three trillion, nine hundred ninety-three billion, five hundred ninety-six million, six thousand, four hundred".