3993821508 has 48 divisors (see below), whose sum is σ = 9864288000. Its totient is φ = 1254148128.

The previous prime is 3993821501. The next prime is 3993821561. The reversal of 3993821508 is 8051283993.

It is a happy number.

It is a super-2 number, since 2×3993821508² = 31901220475526788128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3993821501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8118 + ... + 89741.

It is an arithmetic number, because the mean of its divisors is an integer number (205506000).

Almost surely, 2^3993821508 is an apocalyptic number.

3993821508 is a gapful number since it is divisible by the number (38) 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 3993821508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4932144000).

3993821508 is an abundant number, since it is smaller than the sum of its proper divisors (5870466492).

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

3993821508 is a wasteful number, since it uses less digits than its factorization.

3993821508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98064 (or 98062 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 3993821508 is about 63196.6890588423. The cubic root of 3993821508 is about 1586.5833187354.

The spelling of 3993821508 in words is "three billion, nine hundred ninety-three million, eight hundred twenty-one thousand, five hundred eight".