3483954864 has 120 divisors (see below), whose sum is σ = 10518719120. Its totient is φ = 1070102016.

The previous prime is 3483954833. The next prime is 3483954907. The reversal of 3483954864 is 4684593843.

3483954864 is a `hidden beast` number, since 3 + 4 + 8 + 39 + 548 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3483954864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370907 + ... + 1373445.

Almost surely, 2^3483954864 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 3483954864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259359560).

3483954864 is an abundant number, since it is smaller than the sum of its proper divisors (7034764256).

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

3483954864 is a wasteful number, since it uses less digits than its factorization.

3483954864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3290 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3483954864 is about 59025.0359085024. The cubic root of 3483954864 is about 1515.9708132494.

The spelling of 3483954864 in words is "three billion, four hundred eighty-three million, nine hundred fifty-four thousand, eight hundred sixty-four".