3580980 has 48 divisors (see below), whose sum is σ = 10800384. Its totient is φ = 881280.

The previous prime is 3580963. The next prime is 3581003. The reversal of 3580980 is 890853.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1516 + ... + 3075.

It is an arithmetic number, because the mean of its divisors is an integer number (225008).

Almost surely, 2^3580980 is an apocalyptic number.

3580980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3580980 is an abundant number, since it is smaller than the sum of its proper divisors (7219404).

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

3580980 is a wasteful number, since it uses less digits than its factorization.

3580980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 3580980 is about 1892.3477481689. The cubic root of 3580980 is about 152.9914985237.

It can be divided in two parts, 3580 and 980, that added together give a triangular number (4560 = T₉₅).

The spelling of 3580980 in words is "three million, five hundred eighty thousand, nine hundred eighty".