3257964271680 has 112 divisors (see below), whose sum is σ = 10344611491584. Its totient is φ = 868742184960.

The previous prime is 3257964271663. The next prime is 3257964271691. The reversal of 3257964271680 is 861724697523.

It is a super-3 number, since 3×3257964271680³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19253040 + ... + 19421520.

It is a 1-persistent number, because it is pandigital, but 2⋅3257964271680 = 6515928543360 is not.

Almost surely, 2^{3257964271680} is an apocalyptic number.

3257964271680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3257964271680 is an abundant number, since it is smaller than the sum of its proper divisors (7086647219904).

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

3257964271680 is a wasteful number, since it uses less digits than its factorization.

3257964271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188644 (or 188634 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 3257964271680 in words is "three trillion, two hundred fifty-seven billion, nine hundred sixty-four million, two hundred seventy-one thousand, six hundred eighty".