3940635108960 has 480 divisors, whose sum is σ = 15969953260800. Its totient is φ = 905025623040.

The previous prime is 3940635108959. The next prime is 3940635108967. The reversal of 3940635108960 is 698015360493.

3940635108960 is a `hidden beast` number, since 3 + 9 + 4 + 0 + 63 + 510 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3940635108897 and 3940635108906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940635108967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1981221 + ... + 3436059.

It is an arithmetic number, because the mean of its divisors is an integer number (33270735960).

Almost surely, 2^{3940635108960} is an apocalyptic number.

3940635108960 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 3940635108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984976630400).

3940635108960 is an abundant number, since it is smaller than the sum of its proper divisors (12029318151840).

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

3940635108960 is a wasteful number, since it uses less digits than its factorization.

3940635108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454896 (or 1454879 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3940635108960 in words is "three trillion, nine hundred forty billion, six hundred thirty-five million, one hundred eight thousand, nine hundred sixty".