3260156800 has 288 divisors, whose sum is σ = 8978499000. Its totient is φ = 1165086720.

The previous prime is 3260156797. The next prime is 3260156813. The reversal of 3260156800 is 86510623.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75817579 + ... + 75817621.

It is a vampire number, since it can be written as 53621 ⋅ 60800 (with its own digits).

Almost surely, 2^3260156800 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 3260156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489249500).

3260156800 is an abundant number, since it is smaller than the sum of its proper divisors (5718342200).

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

3260156800 is a wasteful number, since it uses less digits than its factorization.

3260156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3260156800 is about 57097.7827940805. The cubic root of 3260156800 is about 1482.7894798175.

It can be divided in two parts, 32601 and 56800, that added together give a square (89401 = 299²).

The spelling of 3260156800 in words is "three billion, two hundred sixty million, one hundred fifty-six thousand, eight hundred".