3257423428688 has 320 divisors, whose sum is σ = 8274137921280. Its totient is φ = 1217153433600.

The previous prime is 3257423428687. The next prime is 3257423428703. The reversal of 3257423428688 is 8868243247523.

It is a super-2 number, since 2×3257423428688² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3257423428688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257423428687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736804718 + ... + 736809138.

It is an arithmetic number, because the mean of its divisors is an integer number (25856681004).

Almost surely, 2^{3257423428688} is an apocalyptic number.

3257423428688 is a gapful number since it is divisible by the number (38) 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 3257423428688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137068960640).

3257423428688 is an abundant number, since it is smaller than the sum of its proper divisors (5016714492592).

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

3257423428688 is a wasteful number, since it uses less digits than its factorization.

3257423428688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5486 (or 5480 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 62.

The spelling of 3257423428688 in words is "three trillion, two hundred fifty-seven billion, four hundred twenty-three million, four hundred twenty-eight thousand, six hundred eighty-eight".