3820920 has 64 divisors (see below), whose sum is σ = 12143520. Its totient is φ = 958464.

The previous prime is 3820891. The next prime is 3820933. The reversal of 3820920 is 290283.

3820920 = 86² + 87² + ... + 229².

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

It is a congruent number.

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, 1104 + ... + 2976.

Almost surely, 2^3820920 is an apocalyptic number.

3820920 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 3820920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071760).

3820920 is an abundant number, since it is smaller than the sum of its proper divisors (8322600).

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

3820920 is a wasteful number, since it uses less digits than its factorization.

3820920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3820920 is about 1954.7173708749. The cubic root of 3820920 is about 156.3349149108.

The spelling of 3820920 in words is "three million, eight hundred twenty thousand, nine hundred twenty".