3286257480 has 640 divisors, whose sum is σ = 13297996800. Its totient is φ = 718502400.

The previous prime is 3286257463. The next prime is 3286257493. The reversal of 3286257480 is 847526823.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15574575 + ... + 15574785.

It is an arithmetic number, because the mean of its divisors is an integer number (20778120).

Almost surely, 2^3286257480 is an apocalyptic number.

3286257480 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 3286257480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648998400).

3286257480 is an abundant number, since it is smaller than the sum of its proper divisors (10011739320).

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

3286257480 is a wasteful number, since it uses less digits than its factorization.

3286257480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3286257480 is about 57325.8883925927. Note that the first 3 decimals coincide. The cubic root of 3286257480 is about 1486.7360168828.

The spelling of 3286257480 in words is "three billion, two hundred eighty-six million, two hundred fifty-seven thousand, four hundred eighty".