3257405280 has 432 divisors, whose sum is σ = 12052469520. Its totient is φ = 830850048.

The previous prime is 3257405279. The next prime is 3257405287. The reversal of 3257405280 is 825047523.

3257405280 is a `hidden beast` number, since 3 + 2 + 574 + 0 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3257405280² = 21221378316343756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257405287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30442987 + ... + 30443093.

It is an arithmetic number, because the mean of its divisors is an integer number (27899235).

Almost surely, 2^3257405280 is an apocalyptic number.

3257405280 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 3257405280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026234760).

3257405280 is an abundant number, since it is smaller than the sum of its proper divisors (8795064240).

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

3257405280 is an equidigital number, since it uses as much as digits as its factorization.

3257405280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3257405280 is about 57073.6829020171. The cubic root of 3257405280 is about 1482.3722122345.

The spelling of 3257405280 in words is "three billion, two hundred fifty-seven million, four hundred five thousand, two hundred eighty".