3933840 has 80 divisors (see below), whose sum is σ = 12552768. Its totient is φ = 1018368.

The previous prime is 3933823. The next prime is 3933841. The reversal of 3933840 is 483393.

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 a junction number, because it is equal to n+sod(n) for n = 3933798 and 3933807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3933841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8659 + ... + 9101.

Almost surely, 2^3933840 is an apocalyptic number.

3933840 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 3933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276384).

3933840 is an abundant number, since it is smaller than the sum of its proper divisors (8618928).

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

3933840 is a wasteful number, since it uses less digits than its factorization.

3933840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3933840 is about 1983.3910355752. The cubic root of 3933840 is about 157.8600480521.

The spelling of 3933840 in words is "three million, nine hundred thirty-three thousand, eight hundred forty".