3807420 has 96 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 929280.

The previous prime is 3807413. The next prime is 3807421. The reversal of 3807420 is 247083.

3807420 = T₃₁₉ + T₃₂₀ + ... + T₃₈₀.

3807420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3807420 is a nontrivial binomial coefficient, being equal to C(2760, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42736 + ... + 42824.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3807420 is an apocalyptic number.

3807420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3807420 is the 2759-th triangular number and also the 1380-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3807420 is an abundant number, since it is smaller than the sum of its proper divisors (7804740).

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

3807420 is a wasteful number, since it uses less digits than its factorization.

3807420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3807420 is about 1951.2611306537. The cubic root of 3807420 is about 156.1505778176.

The spelling of 3807420 in words is "three million, eight hundred seven thousand, four hundred twenty".