3261740640 has 384 divisors, whose sum is σ = 11379916800. Its totient is φ = 782161920.

The previous prime is 3261740633. The next prime is 3261740701. The reversal of 3261740640 is 460471623.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 23465691 + ... + 23465829.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^3261740640 is an apocalyptic number.

3261740640 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 3261740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689958400).

3261740640 is an abundant number, since it is smaller than the sum of its proper divisors (8118176160).

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

3261740640 is a wasteful number, since it uses less digits than its factorization.

3261740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3261740640 is about 57111.6506502833. The cubic root of 3261740640 is about 1483.0295624498.

The spelling of 3261740640 in words is "three billion, two hundred sixty-one million, seven hundred forty thousand, six hundred forty".