3260025600 has 432 divisors, whose sum is σ = 11933215392. Its totient is φ = 778567680.

The previous prime is 3260025599. The next prime is 3260025617. The reversal of 3260025600 is 65200623.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9235024 + ... + 9235376.

Almost surely, 2^3260025600 is an apocalyptic number.

3260025600 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 3260025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966607696).

3260025600 is an abundant number, since it is smaller than the sum of its proper divisors (8673189792).

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

3260025600 is a wasteful number, since it uses less digits than its factorization.

3260025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3260025600 is about 57096.6338762628. The cubic root of 3260025600 is about 1482.7695886894.

The spelling of 3260025600 in words is "three billion, two hundred sixty million, twenty-five thousand, six hundred".