3261957888 has 432 divisors, whose sum is σ = 10995869696. Its totient is φ = 839393280.

The previous prime is 3261957887. The next prime is 3261957889. The reversal of 3261957888 is 8887591623.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3261957887) and next prime (3261957889).

Its product of digits (5806080) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3261957883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88161006 + ... + 88161042.

Almost surely, 2^3261957888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261957888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497934848).

3261957888 is an abundant number, since it is smaller than the sum of its proper divisors (7733911808).

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

3261957888 is a wasteful number, since it uses less digits than its factorization.

3261957888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 3261957888 is about 57113.5525772999. The cubic root of 3261957888 is about 1483.0624874111.

The spelling of 3261957888 in words is "three billion, two hundred sixty-one million, nine hundred fifty-seven thousand, eight hundred eighty-eight".