3261890560 has 128 divisors (see below), whose sum is σ = 8027775360. Its totient is φ = 1271660544.

The previous prime is 3261890543. The next prime is 3261890563. The reversal of 3261890560 is 650981623.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3261890560² = 21279860050834227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3261890563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7044889 + ... + 7045351.

It is an arithmetic number, because the mean of its divisors is an integer number (62716995).

Almost surely, 2^3261890560 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 3261890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013887680).

3261890560 is an abundant number, since it is smaller than the sum of its proper divisors (4765884800).

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

3261890560 is an frugal number, since it uses more digits than its factorization.

3261890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 3261890560 is about 57112.9631519850. The cubic root of 3261890560 is about 1483.0522836908.

The spelling of 3261890560 in words is "three billion, two hundred sixty-one million, eight hundred ninety thousand, five hundred sixty".