3955680 has 144 divisors (see below), whose sum is σ = 14034384. Its totient is φ = 1013760.

The previous prime is 3955673. The next prime is 3955691. The reversal of 3955680 is 865593.

3955680 is a `hidden beast` number, since 3 + 95 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59007 + ... + 59073.

It is an arithmetic number, because the mean of its divisors is an integer number (97461).

Almost surely, 2^3955680 is an apocalyptic number.

3955680 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 3955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7017192).

3955680 is an abundant number, since it is smaller than the sum of its proper divisors (10078704).

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

3955680 is a wasteful number, since it uses less digits than its factorization.

3955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 3955680 is about 1988.8891371819. The cubic root of 3955680 is about 158.1516463190.

The spelling of 3955680 in words is "three million, nine hundred fifty-five thousand, six hundred eighty".