3920688 has 60 divisors (see below), whose sum is σ = 11558040. Its totient is φ = 1237248.

The previous prime is 3920687. The next prime is 3920689. The reversal of 3920688 is 8860293.

It is an interprime number because it is at equal distance from previous prime (3920687) and next prime (3920689).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3920681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020 + ... + 3452.

It is an arithmetic number, because the mean of its divisors is an integer number (192634).

Almost surely, 2^3920688 is an apocalyptic number.

3920688 is a gapful number since it is divisible by the number (38) 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 3920688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779020).

3920688 is an abundant number, since it is smaller than the sum of its proper divisors (7637352).

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

3920688 is a wasteful number, since it uses less digits than its factorization.

3920688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3920688 is about 1980.0727259371. The cubic root of 3920688 is about 157.6839272289.

The spelling of 3920688 in words is "three million, nine hundred twenty thousand, six hundred eighty-eight".