3906252560 has 240 divisors, whose sum is σ = 11221156800. Its totient is φ = 1257403392.

The previous prime is 3906252551. The next prime is 3906252577. The reversal of 3906252560 is 652526093.

It is a sliding number, since 3906252560 = 2560 + 3906250000 and 1/2560 + 1/3906250000 = 0.0003906252560.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13331774 + ... + 13332066.

It is an arithmetic number, because the mean of its divisors is an integer number (46754820).

Almost surely, 2^3906252560 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 3906252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610578400).

3906252560 is an abundant number, since it is smaller than the sum of its proper divisors (7314904240).

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

3906252560 is a wasteful number, since it uses less digits than its factorization.

3906252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 3906252560 is about 62500.0204799966. The cubic root of 3906252560 is about 1574.9016564110.

It can be divided in two parts, 390625 and 2560, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 3906252560 in words is "three billion, nine hundred six million, two hundred fifty-two thousand, five hundred sixty".