3913449984 has 160 divisors (see below), whose sum is σ = 11677913280. Its totient is φ = 1293926400.

The previous prime is 3913449973. The next prime is 3913450001. The reversal of 3913449984 is 4899443193.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3913449984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1809864 + ... + 1812024.

It is an arithmetic number, because the mean of its divisors is an integer number (72986958).

Almost surely, 2^3913449984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3913449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838956640).

3913449984 is an abundant number, since it is smaller than the sum of its proper divisors (7764463296).

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

3913449984 is a wasteful number, since it uses less digits than its factorization.

3913449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2297 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3913449984 is about 62557.5733544708. The cubic root of 3913449984 is about 1575.8683356900.

The spelling of 3913449984 in words is "three billion, nine hundred thirteen million, four hundred forty-nine thousand, nine hundred eighty-four".