3263432640 has 448 divisors, whose sum is σ = 11797954560. Its totient is φ = 758661120.

The previous prime is 3263432581. The next prime is 3263432657. The reversal of 3263432640 is 462343623.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25696257 + ... + 25696383.

It is an arithmetic number, because the mean of its divisors is an integer number (26334720).

Almost surely, 2^3263432640 is an apocalyptic number.

3263432640 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 3263432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898977280).

3263432640 is an abundant number, since it is smaller than the sum of its proper divisors (8534521920).

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

3263432640 is a wasteful number, since it uses less digits than its factorization.

3263432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 3263432640 is about 57126.4618193705. The cubic root of 3263432640 is about 1483.2859544126.

The spelling of 3263432640 in words is "three billion, two hundred sixty-three million, four hundred thirty-two thousand, six hundred forty".