3480590784 has 112 divisors (see below), whose sum is σ = 10066300416. Its totient is φ = 1052620800.

The previous prime is 3480590783. The next prime is 3480590797. The reversal of 3480590784 is 4870950843.

It is a super-2 number, since 2×3480590784² = 24229024411331469312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480590783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301769 + ... + 1304439.

Almost surely, 2^3480590784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480590784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033150208).

3480590784 is an abundant number, since it is smaller than the sum of its proper divisors (6585709632).

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

3480590784 is a wasteful number, since it uses less digits than its factorization.

3480590784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3480590784 is about 58996.5319658707. The cubic root of 3480590784 is about 1515.4827195329.

The spelling of 3480590784 in words is "three billion, four hundred eighty million, five hundred ninety thousand, seven hundred eighty-four".