3483892944 has 180 divisors, whose sum is σ = 11762622144. Its totient is φ = 995343552.

The previous prime is 3483892927. The next prime is 3483892963. The reversal of 3483892944 is 4492983843.

3483892944 is a `hidden beast` number, since 348 + 3 + 8 + 9 + 294 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181369 + ... + 199655.

Almost surely, 2^3483892944 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 3483892944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881311072).

3483892944 is an abundant number, since it is smaller than the sum of its proper divisors (8278729200).

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

3483892944 is a wasteful number, since it uses less digits than its factorization.

3483892944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18324 (or 18299 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3483892944 is about 59024.5113829839. The cubic root of 3483892944 is about 1515.9618321276.

The spelling of 3483892944 in words is "three billion, four hundred eighty-three million, eight hundred ninety-two thousand, nine hundred forty-four".