3909965230080 has 2080 divisors, whose sum is σ = 17583102028800. Its totient is φ = 809130000384.

The previous prime is 3909965230037. The next prime is 3909965230169. The reversal of 3909965230080 is 800325699093.

3909965230080 is a `hidden beast` number, since 39 + 0 + 9 + 9 + 6 + 523 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3909965229999 and 3909965230026.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8906526501 + ... + 8906526939.

Almost surely, 2^{3909965230080} is an apocalyptic number.

3909965230080 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 3909965230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791551014400).

3909965230080 is an abundant number, since it is smaller than the sum of its proper divisors (13673136798720).

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

3909965230080 is a wasteful number, since it uses less digits than its factorization.

3909965230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3909965230080 in words is "three trillion, nine hundred nine billion, nine hundred sixty-five million, two hundred thirty thousand, eighty".