3271376240640 has 480 divisors, whose sum is σ = 11402674311600. Its totient is φ = 867616948224.

The previous prime is 3271376240623. The next prime is 3271376240641. The reversal of 3271376240640 is 460426731723.

3271376240640 is a `hidden beast` number, since 3 + 2 + 7 + 13 + 7 + 624 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3271376240641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7384596259 + ... + 7384596701.

Almost surely, 2^{3271376240640} is an apocalyptic number.

3271376240640 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 3271376240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701337155800).

3271376240640 is an abundant number, since it is smaller than the sum of its proper divisors (8131298070960).

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

3271376240640 is an frugal number, since it uses more digits than its factorization.

3271376240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3271376240640 in words is "three trillion, two hundred seventy-one billion, three hundred seventy-six million, two hundred forty thousand, six hundred forty".