3013920 has 288 divisors, whose sum is σ = 13208832. Its totient is φ = 608256.

The previous prime is 3013919. The next prime is 3013957. The reversal of 3013920 is 293103.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3013893 and 3013902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131029 + ... + 131051.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

Almost surely, 2^3013920 is an apocalyptic number.

3013920 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 3013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

3013920 is an abundant number, since it is smaller than the sum of its proper divisors (10194912).

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

3013920 is a wasteful number, since it uses less digits than its factorization.

3013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3013920 is about 1736.0645149302. The cubic root of 3013920 is about 144.4476808392.

The spelling of 3013920 in words is "three million, thirteen thousand, nine hundred twenty".