3562880 has 64 divisors (see below), whose sum is σ = 8996400. Its totient is φ = 1345536.

The previous prime is 3562849. The next prime is 3562901. The reversal of 3562880 is 882653.

3562880 = T₂₂₅ + T₂₂₆ + ... + T₃₁₉.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3562880² = 25388227788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12014 + ... + 12306.

Almost surely, 2^3562880 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 3562880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498200).

3562880 is an abundant number, since it is smaller than the sum of its proper divisors (5433520).

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

3562880 is a wasteful number, since it uses less digits than its factorization.

3562880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3562880 is about 1887.5592705926. The cubic root of 3562880 is about 152.7332987384.

The spelling of 3562880 in words is "three million, five hundred sixty-two thousand, eight hundred eighty".