3579480 has 96 divisors (see below), whose sum is σ = 11896560. Its totient is φ = 933120.

The previous prime is 3579403. The next prime is 3579481. The reversal of 3579480 is 849753.

3579480 is a `hidden beast` number, since 3 + 579 + 4 + 80 = 666.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3579481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21879 + ... + 22041.

Almost surely, 2^3579480 is an apocalyptic number.

3579480 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 3579480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948280).

3579480 is an abundant number, since it is smaller than the sum of its proper divisors (8317080).

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

3579480 is a wasteful number, since it uses less digits than its factorization.

3579480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3579480 is about 1891.9513735823. The cubic root of 3579480 is about 152.9701338603.

The spelling of 3579480 in words is "three million, five hundred seventy-nine thousand, four hundred eighty".