3993096683520 has 1216 divisors, whose sum is σ = 16508749056000. Its totient is φ = 908121341952.

The previous prime is 3993096683497. The next prime is 3993096683533. The reversal of 3993096683520 is 253866903993.

3993096683520 is a `hidden beast` number, since 399 + 30 + 96 + 6 + 83 + 52 + 0 = 666.

It is a super-2 number, since 2×3993096683520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20065812381 + ... + 20065812579.

Almost surely, 2^{3993096683520} is an apocalyptic number.

3993096683520 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 3993096683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254374528000).

3993096683520 is an abundant number, since it is smaller than the sum of its proper divisors (12515652372480).

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

3993096683520 is an frugal number, since it uses more digits than its factorization.

3993096683520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 3993096683520 in words is "three trillion, nine hundred ninety-three billion, ninety-six million, six hundred eighty-three thousand, five hundred twenty".