3955908579840 has 720 divisors, whose sum is σ = 15956580769272. Its totient is φ = 903110197248.

The previous prime is 3955908579793. The next prime is 3955908579841. The reversal of 3955908579840 is 489758095593.

3955908579840 is a `hidden beast` number, since 3 + 9 + 5 + 5 + 9 + 0 + 8 + 579 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3423802523904 + 532106055936 = 1850352^2 + 729456^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3955908579841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1261046752 + ... + 1261049888.

Almost surely, 2^{3955908579840} is an apocalyptic number.

3955908579840 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 3955908579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978290384636).

3955908579840 is an abundant number, since it is smaller than the sum of its proper divisors (12000672189432).

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

3955908579840 is a wasteful number, since it uses less digits than its factorization.

3955908579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 3955908579840 in words is "three trillion, nine hundred fifty-five billion, nine hundred eight million, five hundred seventy-nine thousand, eight hundred forty".