3813993840 has 160 divisors (see below), whose sum is σ = 12158721792. Its totient is φ = 988416000.

The previous prime is 3813993797. The next prime is 3813993863. The reversal of 3813993840 is 483993183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3813993840.

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 31 ways as a sum of consecutive naturals, for example, 3256455 + ... + 3257625.

Almost surely, 2^3813993840 is an apocalyptic number.

3813993840 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 3813993840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079360896).

3813993840 is an abundant number, since it is smaller than the sum of its proper divisors (8344727952).

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

3813993840 is a wasteful number, since it uses less digits than its factorization.

3813993840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 3813993840 is about 61757.5407541460. The cubic root of 3813993840 is about 1562.4039530508.

The spelling of 3813993840 in words is "three billion, eight hundred thirteen million, nine hundred ninety-three thousand, eight hundred forty".