3260416320 has 896 divisors, whose sum is σ = 14232453120. Its totient is φ = 686776320.

The previous prime is 3260416277. The next prime is 3260416399. The reversal of 3260416320 is 236140623.

3260416320 is a `hidden beast` number, since 3 + 26 + 0 + 4 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69370537 + ... + 69370583.

Almost surely, 2^3260416320 is an apocalyptic number.

3260416320 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 3260416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116226560).

3260416320 is an abundant number, since it is smaller than the sum of its proper divisors (10972036800).

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

3260416320 is a wasteful number, since it uses less digits than its factorization.

3260416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3260416320 is about 57100.0553414793. The cubic root of 3260416320 is about 1482.8288238674.

Adding to 3260416320 its reverse (236140623), we get a palindrome (3496556943).

The spelling of 3260416320 in words is "three billion, two hundred sixty million, four hundred sixteen thousand, three hundred twenty".