3997920 has 48 divisors (see below), whose sum is σ = 12594960. Its totient is φ = 1065984.

The previous prime is 3997919. The next prime is 3997921. The reversal of 3997920 is 297993.

It is an interprime number because it is at equal distance from previous prime (3997919) and next prime (3997921).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3685 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (262395).

Almost surely, 2^3997920 is an apocalyptic number.

3997920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3997920 is an abundant number, since it is smaller than the sum of its proper divisors (8597040).

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

3997920 is a wasteful number, since it uses less digits than its factorization.

3997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8347 (or 8339 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 3997920 is about 1999.4799323824. The cubic root of 3997920 is about 158.7125854746.

The spelling of 3997920 in words is "three million, nine hundred ninety-seven thousand, nine hundred twenty".