3835920 has 80 divisors (see below), whose sum is σ = 12981312. Its totient is φ = 929280.

The previous prime is 3835913. The next prime is 3835921. The reversal of 3835920 is 295383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3835921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1914 + ... + 3366.

Almost surely, 2^3835920 is an apocalyptic number.

3835920 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 3835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490656).

3835920 is an abundant number, since it is smaller than the sum of its proper divisors (9145392).

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

3835920 is a wasteful number, since it uses less digits than its factorization.

3835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3835920 is about 1958.5504844144. The cubic root of 3835920 is about 156.5392253679.

The spelling of 3835920 in words is "three million, eight hundred thirty-five thousand, nine hundred twenty".