3953608658640 has 480 divisors, whose sum is σ = 13922108928000. Its totient is φ = 1042655224320.

The previous prime is 3953608658609. The next prime is 3953608658641. The reversal of 3953608658640 is 468568063593.

3953608658640 is a `hidden beast` number, since 3 + 9 + 5 + 3 + 6 + 0 + 8 + 6 + 586 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3953608658641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 732282661 + ... + 732288059.

It is an arithmetic number, because the mean of its divisors is an integer number (29004393600).

Almost surely, 2^{3953608658640} is an apocalyptic number.

3953608658640 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 3953608658640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961054464000).

3953608658640 is an abundant number, since it is smaller than the sum of its proper divisors (9968500269360).

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

3953608658640 is a wasteful number, since it uses less digits than its factorization.

3953608658640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 3953608658640 in words is "three trillion, nine hundred fifty-three billion, six hundred eight million, six hundred fifty-eight thousand, six hundred forty".