3905378024960 has 320 divisors, whose sum is σ = 10142643329280. Its totient is φ = 1437309665280.

The previous prime is 3905378024927. The next prime is 3905378024969. The reversal of 3905378024960 is 694208735093.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3905378024896 and 3905378024905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905378024969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452688167 + ... + 452696793.

It is an arithmetic number, because the mean of its divisors is an integer number (31695760404).

Almost surely, 2^{3905378024960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3905378024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071321664640).

3905378024960 is an abundant number, since it is smaller than the sum of its proper divisors (6237265304320).

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

3905378024960 is a wasteful number, since it uses less digits than its factorization.

3905378024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8937 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 3905378024960 in words is "three trillion, nine hundred five billion, three hundred seventy-eight million, twenty-four thousand, nine hundred sixty".