3260953920 has 336 divisors, whose sum is σ = 12142061568. Its totient is φ = 739307520.

The previous prime is 3260953909. The next prime is 3260953931. The reversal of 3260953920 is 293590623.

It is an interprime number because it is at equal distance from previous prime (3260953909) and next prime (3260953931).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8514049 + ... + 8514431.

It is an arithmetic number, because the mean of its divisors is an integer number (36137088).

Almost surely, 2^3260953920 is an apocalyptic number.

3260953920 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 3260953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071030784).

3260953920 is an abundant number, since it is smaller than the sum of its proper divisors (8881107648).

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

3260953920 is a wasteful number, since it uses less digits than its factorization.

3260953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 3260953920 is about 57104.7626735284. The cubic root of 3260953920 is about 1482.9103190802.

The spelling of 3260953920 in words is "three billion, two hundred sixty million, nine hundred fifty-three thousand, nine hundred twenty".