3260204640 has 768 divisors, whose sum is σ = 14521006080. Its totient is φ = 677445120.

The previous prime is 3260204579. The next prime is 3260204663. The reversal of 3260204640 is 464020623.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296382235 + ... + 296382245.

It is an arithmetic number, because the mean of its divisors is an integer number (18907560).

Almost surely, 2^3260204640 is an apocalyptic number.

3260204640 is a gapful number since it is divisible by the number (30) 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 3260204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260503040).

3260204640 is an abundant number, since it is smaller than the sum of its proper divisors (11260801440).

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

3260204640 is an frugal number, since it uses more digits than its factorization.

3260204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3260204640 is about 57098.2017229965. The cubic root of 3260204640 is about 1482.7967326693.

The spelling of 3260204640 in words is "three billion, two hundred sixty million, two hundred four thousand, six hundred forty".