3287425752 has 384 divisors, whose sum is σ = 10692864000. Its totient is φ = 903260160.

The previous prime is 3287425747. The next prime is 3287425781. The reversal of 3287425752 is 2575247823.

3287425752 is a `hidden beast` number, since 3 + 2 + 8 + 74 + 2 + 575 + 2 = 666.

Its product of digits (940800) is a multiple of the sum of its prime divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 3287425698 and 3287425707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36937324 + ... + 36937412.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 2^3287425752 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 3287425752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432000).

3287425752 is an abundant number, since it is smaller than the sum of its proper divisors (7405438248).

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

3287425752 is a wasteful number, since it uses less digits than its factorization.

3287425752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 224 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 3287425752 is about 57336.0772289141. The cubic root of 3287425752 is about 1486.9121753534.

The spelling of 3287425752 in words is "three billion, two hundred eighty-seven million, four hundred twenty-five thousand, seven hundred fifty-two".