3257106432 has 128 divisors (see below), whose sum is σ = 9201114000. Its totient is φ = 1021313024.

The previous prime is 3257106409. The next prime is 3257106511. The reversal of 3257106432 is 2346017523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3257106393 and 3257106402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1670194 + ... + 1672142.

Almost surely, 2^3257106432 is an apocalyptic number.

3257106432 is a gapful number since it is divisible by the number (32) 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 3257106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600557000).

3257106432 is an abundant number, since it is smaller than the sum of its proper divisors (5944007568).

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

3257106432 is an equidigital number, since it uses as much as digits as its factorization.

3257106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3257106432 is about 57071.0647526398. The cubic root of 3257106432 is about 1482.3268778368.

The spelling of 3257106432 in words is "three billion, two hundred fifty-seven million, one hundred six thousand, four hundred thirty-two".