3913323840 has 560 divisors, whose sum is σ = 15056217792. Its totient is φ = 961265664.

The previous prime is 3913323839. The next prime is 3913323889. The reversal of 3913323840 is 483233193.

3913323840 is a `hidden beast` number, since 391 + 33 + 238 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3913323795 and 3913323804.

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 79 ways as a sum of consecutive naturals, for example, 36573067 + ... + 36573173.

Almost surely, 2^3913323840 is an apocalyptic number.

3913323840 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 3913323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528108896).

3913323840 is an abundant number, since it is smaller than the sum of its proper divisors (11142893952).

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

3913323840 is a wasteful number, since it uses less digits than its factorization.

3913323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3913323840 is about 62556.5651230948. The cubic root of 3913323840 is about 1575.8514036162.

The spelling of 3913323840 in words is "three billion, nine hundred thirteen million, three hundred twenty-three thousand, eight hundred forty".