3993131520 has 720 divisors, whose sum is σ = 16810361568. Its totient is φ = 905748480.

The previous prime is 3993131507. The next prime is 3993131537. The reversal of 3993131520 is 251313993.

3993131520 is a `hidden beast` number, since 39 + 93 + 13 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481855 + ... + 30481985.

Almost surely, 2^3993131520 is an apocalyptic number.

3993131520 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 3993131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405180784).

3993131520 is an abundant number, since it is smaller than the sum of its proper divisors (12817230048).

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

3993131520 is an equidigital number, since it uses as much as digits as its factorization.

3993131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 3993131520 is about 63191.2297712270. The cubic root of 3993131520 is about 1586.4919453897.

The spelling of 3993131520 in words is "three billion, nine hundred ninety-three million, one hundred thirty-one thousand, five hundred twenty".