3905704988640 has 768 divisors, whose sum is σ = 16835326986240. Its totient is φ = 823534387200.

The previous prime is 3905704988629. The next prime is 3905704988707. The reversal of 3905704988640 is 468894075093.

3905704988640 is a `hidden beast` number, since 3 + 90 + 57 + 0 + 498 + 8 + 6 + 4 + 0 = 666.

3905704988640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1101127347 + ... + 1101130893.

It is an arithmetic number, because the mean of its divisors is an integer number (21920998680).

Almost surely, 2^{3905704988640} is an apocalyptic number.

3905704988640 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 3905704988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8417663493120).

3905704988640 is an abundant number, since it is smaller than the sum of its proper divisors (12929621997600).

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

3905704988640 is a wasteful number, since it uses less digits than its factorization.

3905704988640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6392 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3905704988640 in words is "three trillion, nine hundred five billion, seven hundred four million, nine hundred eighty-eight thousand, six hundred forty".