3564480 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 918528.

The previous prime is 3564479. The next prime is 3564487. The reversal of 3564480 is 844653.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3564487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45081 + ... + 45159.

Almost surely, 2^3564480 is an apocalyptic number.

3564480 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 3564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

3564480 is an abundant number, since it is smaller than the sum of its proper divisors (8139840).

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

3564480 is a wasteful number, since it uses less digits than its factorization.

3564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3564480 is about 1887.9830507714. The cubic root of 3564480 is about 152.7561582141.

The spelling of 3564480 in words is "three million, five hundred sixty-four thousand, four hundred eighty".