3837120 has 112 divisors (see below), whose sum is σ = 13947648. Its totient is φ = 875520.

The previous prime is 3837103. The next prime is 3837131. The reversal of 3837120 is 217383.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6435 + ... + 7005.

Almost surely, 2^3837120 is an apocalyptic number.

3837120 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 3837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973824).

3837120 is an abundant number, since it is smaller than the sum of its proper divisors (10110528).

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

3837120 is a wasteful number, since it uses less digits than its factorization.

3837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3837120 is about 1958.8568094682. The cubic root of 3837120 is about 156.5555471791. Note that the first 4 decimals are identical.

It can be divided in two parts, 383 and 7120, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 3837120 in words is "three million, eight hundred thirty-seven thousand, one hundred twenty".