3260553600 has 192 divisors, whose sum is σ = 11207139840. Its totient is φ = 831621120.

The previous prime is 3260553599. The next prime is 3260553601. The reversal of 3260553600 is 63550623.

It is an interprime number because it is at equal distance from previous prime (3260553599) and next prime (3260553601).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3260553601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213417 + ... + 228183.

It is an arithmetic number, because the mean of its divisors is an integer number (58370520).

Almost surely, 2^3260553600 is an apocalyptic number.

3260553600 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 3260553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603569920).

3260553600 is an abundant number, since it is smaller than the sum of its proper divisors (7946586240).

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

3260553600 is a wasteful number, since it uses less digits than its factorization.

3260553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14817 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3260553600 is about 57101.2574292371. The cubic root of 3260553600 is about 1482.8496351038.

The spelling of 3260553600 in words is "three billion, two hundred sixty million, five hundred fifty-three thousand, six hundred".