3287564490 has 128 divisors (see below), whose sum is σ = 9622794240. Its totient is φ = 702079488.

The previous prime is 3287564461. The next prime is 3287564491. The reversal of 3287564490 is 944657823.

It is not an unprimeable number, because it can be changed into a prime (3287564491) 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, 285627 + ... + 296913.

It is an arithmetic number, because the mean of its divisors is an integer number (75178080).

Almost surely, 2^3287564490 is an apocalyptic number.

3287564490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287564490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811397120).

3287564490 is an abundant number, since it is smaller than the sum of its proper divisors (6335229750).

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

3287564490 is a wasteful number, since it uses less digits than its factorization.

3287564490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11396.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 3287564490 is about 57337.2870826655. The cubic root of 3287564490 is about 1486.9330922587.

The spelling of 3287564490 in words is "three billion, two hundred eighty-seven million, five hundred sixty-four thousand, four hundred ninety".