3890561328 has 80 divisors (see below), whose sum is σ = 11213989600. Its totient is φ = 1291438080.

The previous prime is 3890561291. The next prime is 3890561371. The reversal of 3890561328 is 8231650983.

It is a happy number.

3890561328 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 5 + 613 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85428 + ... + 122796.

It is an arithmetic number, because the mean of its divisors is an integer number (140174870).

Almost surely, 2^3890561328 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 3890561328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606994800).

3890561328 is an abundant number, since it is smaller than the sum of its proper divisors (7323428272).

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

3890561328 is a wasteful number, since it uses less digits than its factorization.

3890561328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37627 (or 37615 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3890561328 is about 62374.3643494665. The cubic root of 3890561328 is about 1572.7900579667.

The spelling of 3890561328 in words is "three billion, eight hundred ninety million, five hundred sixty-one thousand, three hundred twenty-eight".