3260453760 has 384 divisors, whose sum is σ = 11814660000. Its totient is φ = 827473920.

The previous prime is 3260453753. The next prime is 3260453767. The reversal of 3260453760 is 673540623.

3260453760 is a `hidden beast` number, since 3 + 2 + 60 + 4 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3260453753) and next prime (3260453767).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3260453767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21882166 + ... + 21882314.

Almost surely, 2^3260453760 is an apocalyptic number.

3260453760 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 3260453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907330000).

3260453760 is an abundant number, since it is smaller than the sum of its proper divisors (8554206240).

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

3260453760 is a wasteful number, since it uses less digits than its factorization.

3260453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3260453760 is about 57100.3831861048. The cubic root of 3260453760 is about 1482.8344997171.

The spelling of 3260453760 in words is "three billion, two hundred sixty million, four hundred fifty-three thousand, seven hundred sixty".