3483517752 has 224 divisors, whose sum is σ = 11507716080. Its totient is φ = 974177280.

The previous prime is 3483517721. The next prime is 3483517777. The reversal of 3483517752 is 2577153843.

3483517752 is a `hidden beast` number, since 3 + 4 + 83 + 517 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3483517698 and 3483517707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 831888 + ... + 836064.

Almost surely, 2^3483517752 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 3483517752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753858040).

3483517752 is an abundant number, since it is smaller than the sum of its proper divisors (8024198328).

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

3483517752 is a wasteful number, since it uses less digits than its factorization.

3483517752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4206 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 3483517752 is about 59021.3330245937. Note that the first 3 decimals coincide. The cubic root of 3483517752 is about 1515.9074105193.

The spelling of 3483517752 in words is "three billion, four hundred eighty-three million, five hundred seventeen thousand, seven hundred fifty-two".