3483960480 has 576 divisors, whose sum is σ = 15969477888. Its totient is φ = 667975680.

The previous prime is 3483960463. The next prime is 3483960499. The reversal of 3483960480 is 840693843.

3483960480 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1440232 + ... + 1442648.

It is an arithmetic number, because the mean of its divisors is an integer number (27724788).

Almost surely, 2^3483960480 is an apocalyptic number.

3483960480 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 3483960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984738944).

3483960480 is an abundant number, since it is smaller than the sum of its proper divisors (12485517408).

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

3483960480 is a wasteful number, since it uses less digits than its factorization.

3483960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3483960480 is about 59025.0834815166. The cubic root of 3483960480 is about 1515.9716278110.

The spelling of 3483960480 in words is "three billion, four hundred eighty-three million, nine hundred sixty thousand, four hundred eighty".