3262000896 has 504 divisors, whose sum is σ = 12224951424. Its totient is φ = 843540480.

The previous prime is 3262000891. The next prime is 3262000901. The reversal of 3262000896 is 6980002623.

It is an interprime number because it is at equal distance from previous prime (3262000891) and next prime (3262000901).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3262000896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3262000891) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 14369935 + ... + 14370161.

It is an arithmetic number, because the mean of its divisors is an integer number (24255856).

Almost surely, 2^3262000896 is an apocalyptic number.

3262000896 is a gapful number since it is divisible by the number (36) 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 3262000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112475712).

3262000896 is an abundant number, since it is smaller than the sum of its proper divisors (8962950528).

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

3262000896 is an equidigital number, since it uses as much as digits as its factorization.

3262000896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3262000896 is about 57113.9290891460. The cubic root of 3262000896 is about 1483.0690053035.

The spelling of 3262000896 in words is "three billion, two hundred sixty-two million, eight hundred ninety-six", and thus it is an aban number.