3562080 has 96 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 921600.

The previous prime is 3562067. The next prime is 3562093. The reversal of 3562080 is 802653.

It is an interprime number because it is at equal distance from previous prime (3562067) and next prime (3562093).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3562080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19590 + ... + 19770.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^3562080 is an apocalyptic number.

3562080 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 3562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3562080 is an abundant number, since it is smaller than the sum of its proper divisors (7995648).

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

3562080 is a wasteful number, since it uses less digits than its factorization.

3562080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3562080 is about 1887.3473448202. The cubic root of 3562080 is about 152.7218664341.

The spelling of 3562080 in words is "three million, five hundred sixty-two thousand, eighty".