3620880 has 120 divisors (see below), whose sum is σ = 12534912. Its totient is φ = 936192.

The previous prime is 3620879. The next prime is 3620909. The reversal of 3620880 is 880263.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3620880² = 26221543948800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33787 + ... + 33893.

Almost surely, 2^3620880 is an apocalyptic number.

3620880 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 3620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267456).

3620880 is an abundant number, since it is smaller than the sum of its proper divisors (8914032).

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

3620880 is a wasteful number, since it uses less digits than its factorization.

3620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3620880 is about 1902.8610038571. The cubic root of 3620880 is about 153.5576217725.

The spelling of 3620880 in words is "three million, six hundred twenty thousand, eight hundred eighty".