3483933760 has 224 divisors, whose sum is σ = 9224174592. Its totient is φ = 1247477760.

The previous prime is 3483933751. The next prime is 3483933767. The reversal of 3483933760 is 673393843.

It is a self number, because there is not a number n which added to its sum of digits gives 3483933760.

It is not an unprimeable number, because it can be changed into a prime (3483933767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12310579 + ... + 12310861.

Almost surely, 2^3483933760 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 3483933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612087296).

3483933760 is an abundant number, since it is smaller than the sum of its proper divisors (5740240832).

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

3483933760 is a wasteful number, since it uses less digits than its factorization.

3483933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The square root of 3483933760 is about 59024.8571366335. The cubic root of 3483933760 is about 1515.9677522537.

The spelling of 3483933760 in words is "three billion, four hundred eighty-three million, nine hundred thirty-three thousand, seven hundred sixty".