3493474880 has 224 divisors, whose sum is σ = 9938625792. Its totient is φ = 1144627200.

The previous prime is 3493474877. The next prime is 3493474889. The reversal of 3493474880 is 884743943.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3493474889) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5055335 + ... + 5056025.

Almost surely, 2^3493474880 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 3493474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969312896).

3493474880 is an abundant number, since it is smaller than the sum of its proper divisors (6445150912).

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

3493474880 is a wasteful number, since it uses less digits than its factorization.

3493474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The square root of 3493474880 is about 59105.6247746355. The cubic root of 3493474880 is about 1517.3503700578.

The spelling of 3493474880 in words is "three billion, four hundred ninety-three million, four hundred seventy-four thousand, eight hundred eighty".