3935760 has 120 divisors (see below), whose sum is σ = 13165824. Its totient is φ = 971520.

The previous prime is 3935759. The next prime is 3935761. The reversal of 3935760 is 675393.

It is an interprime number because it is at equal distance from previous prime (3935759) and next prime (3935761).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3935761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126945 + ... + 126975.

Almost surely, 2^3935760 is an apocalyptic number.

3935760 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 3935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582912).

3935760 is an abundant number, since it is smaller than the sum of its proper divisors (9230064).

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

3935760 is a wasteful number, since it uses less digits than its factorization.

3935760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3935760 is about 1983.8749960620. The cubic root of 3935760 is about 157.8857262694.

The spelling of 3935760 in words is "three million, nine hundred thirty-five thousand, seven hundred sixty".