3482583552 has 640 divisors, whose sum is σ = 13081305600. Its totient is φ = 891813888.

The previous prime is 3482583551. The next prime is 3482583563. The reversal of 3482583552 is 2553852843.

3482583552 is a `hidden beast` number, since 3 + 48 + 2 + 58 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3482583498 and 3482583507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3482583551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47706588 + ... + 47706660.

It is an arithmetic number, because the mean of its divisors is an integer number (20439540).

Almost surely, 2^3482583552 is an apocalyptic number.

3482583552 is a gapful number since it is divisible by the number (32) 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 3482583552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540652800).

3482583552 is an abundant number, since it is smaller than the sum of its proper divisors (9598722048).

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

3482583552 is a wasteful number, since it uses less digits than its factorization.

3482583552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 3482583552 is about 59013.4184063252. The cubic root of 3482583552 is about 1515.7718878077.

The spelling of 3482583552 in words is "three billion, four hundred eighty-two million, five hundred eighty-three thousand, five hundred fifty-two".