3083604480 has 480 divisors, whose sum is σ = 12179756160. Its totient is φ = 715038720.

The previous prime is 3083604439. The next prime is 3083604499. The reversal of 3083604480 is 844063803.

3083604480 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 604 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134069749 + ... + 134069771.

It is an arithmetic number, because the mean of its divisors is an integer number (25374492).

Almost surely, 2^3083604480 is an apocalyptic number.

3083604480 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 3083604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089878080).

3083604480 is an abundant number, since it is smaller than the sum of its proper divisors (9096151680).

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

3083604480 is an equidigital number, since it uses as much as digits as its factorization.

3083604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3083604480 is about 55530.2123172602. The cubic root of 3083604480 is about 1455.5246203976.

The spelling of 3083604480 in words is "three billion, eighty-three million, six hundred four thousand, four hundred eighty".