3567480 has 128 divisors (see below), whose sum is σ = 12718080. Its totient is φ = 783360.

The previous prime is 3567469. The next prime is 3567517. The reversal of 3567480 is 847653.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25972 + ... + 26108.

It is an arithmetic number, because the mean of its divisors is an integer number (99360).

Almost surely, 2^3567480 is an apocalyptic number.

3567480 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 3567480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359040).

3567480 is an abundant number, since it is smaller than the sum of its proper divisors (9150600).

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

3567480 is a wasteful number, since it uses less digits than its factorization.

3567480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3567480 is about 1888.7773823296. Note that the first 3 decimals coincide. The cubic root of 3567480 is about 152.7990013001.

Multiplying 3567480 by its sum of digits (33), we get a triangular number (117726840 = T₁₅₃₄₄).

The spelling of 3567480 in words is "three million, five hundred sixty-seven thousand, four hundred eighty".