3993345630 has 128 divisors (see below), whose sum is σ = 10786089600. Its totient is φ = 1051287552.

The previous prime is 3993345607. The next prime is 3993345649. The reversal of 3993345630 is 365433993.

3993345630 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 3 + 4 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10265476 + ... + 10265864.

It is an arithmetic number, because the mean of its divisors is an integer number (84266325).

Almost surely, 2^3993345630 is an apocalyptic number.

3993345630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993345630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393044800).

3993345630 is an abundant number, since it is smaller than the sum of its proper divisors (6792743970).

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

3993345630 is a wasteful number, since it uses less digits than its factorization.

3993345630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 45.

The square root of 3993345630 is about 63192.9238918409. The cubic root of 3993345630 is about 1586.5203005555.

The spelling of 3993345630 in words is "three billion, nine hundred ninety-three million, three hundred forty-five thousand, six hundred thirty".