3260444148900 has 135 divisors (see below), whose sum is σ = 10569598674481. Its totient is φ = 869408436960.

The previous prime is 3260444148893. The next prime is 3260444148901. The reversal of 3260444148900 is 98414440623.

The square root of 3260444148900 is 1805670.

It is a perfect power (a square), and thus also a powerful number.

3260444148900 is a `hidden beast` number, since 3 + 2 + 60 + 444 + 148 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1173759893604 + 2086684255296 = 1083402^2 + 1444536^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3260444148901) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 162500269 + ... + 162520331.

Almost surely, 2^{3260444148900} is an apocalyptic number.

3260444148900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3260444148900 is the 1805670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3260444148900

3260444148900 is an abundant number, since it is smaller than the sum of its proper divisors (7309154525581).

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

3260444148900 is an frugal number, since it uses more digits than its factorization.

3260444148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40152 (or 20073 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3260444148900 in words is "three trillion, two hundred sixty billion, four hundred forty-four million, one hundred forty-eight thousand, nine hundred".