3260269440 has 320 divisors, whose sum is σ = 11845357920. Its totient is φ = 854323200.

The previous prime is 3260269433. The next prime is 3260269457. The reversal of 3260269440 is 449620623.

3260269440 is a `hidden beast` number, since 3 + 2 + 602 + 6 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 3260269395 and 3260269404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3161725 + ... + 3162755.

Almost surely, 2^3260269440 is an apocalyptic number.

3260269440 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 3260269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922678960).

3260269440 is an abundant number, since it is smaller than the sum of its proper divisors (8585088480).

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

3260269440 is a wasteful number, since it uses less digits than its factorization.

3260269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3260269440 is about 57098.7691636168. The cubic root of 3260269440 is about 1482.8065566530.

The spelling of 3260269440 in words is "three billion, two hundred sixty million, two hundred sixty-nine thousand, four hundred forty".