3139920 has 180 divisors, whose sum is σ = 12404340. Its totient is φ = 709632.

The previous prime is 3139919. The next prime is 3139943. The reversal of 3139920 is 299313.

3139920 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 2286144 = 924^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×3139920³ = 92870333268862464000, which contains 333 as substring.

3139920 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35236 + ... + 35324.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

Almost surely, 2^3139920 is an apocalyptic number.

3139920 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 3139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202170).

3139920 is an abundant number, since it is smaller than the sum of its proper divisors (9264420).

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

3139920 is a wasteful number, since it uses less digits than its factorization.

3139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3139920 is about 1771.9819412172. The cubic root of 3139920 is about 146.4331914352.

The spelling of 3139920 in words is "three million, one hundred thirty-nine thousand, nine hundred twenty".