3992520 has 128 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 903168.

The previous prime is 3992519. The next prime is 3992531. The reversal of 3992520 is 252993.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41112 + ... + 41208.

It is an arithmetic number, because the mean of its divisors is an integer number (110250).

Almost surely, 2^3992520 is an apocalyptic number.

3992520 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 3992520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

3992520 is an abundant number, since it is smaller than the sum of its proper divisors (10119480).

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

3992520 is a wasteful number, since it uses less digits than its factorization.

3992520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3992520 is about 1998.1291249566. The cubic root of 3992520 is about 158.6410954562.

The spelling of 3992520 in words is "three million, nine hundred ninety-two thousand, five hundred twenty".