3483863460 has 360 divisors, whose sum is σ = 13734409920. Its totient is φ = 723634560.

The previous prime is 3483863459. The next prime is 3483863477. The reversal of 3483863460 is 643683843.

3483863460 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 8 + 634 + 6 + 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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1370871 + ... + 1373409.

Almost surely, 2^3483863460 is an apocalyptic number.

3483863460 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 3483863460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867204960).

3483863460 is an abundant number, since it is smaller than the sum of its proper divisors (10250546460).

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

3483863460 is a wasteful number, since it uses less digits than its factorization.

3483863460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3483863460 is about 59024.2616218111. The cubic root of 3483863460 is about 1515.9575556142.

The spelling of 3483863460 in words is "three billion, four hundred eighty-three million, eight hundred sixty-three thousand, four hundred sixty".