3948979655040 has 512 divisors, whose sum is σ = 14642643456000. Its totient is φ = 886521815040.

The previous prime is 3948979655029. The next prime is 3948979655041. The reversal of 3948979655040 is 405569798493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948979655041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1531204471 + ... + 1531207049.

It is an arithmetic number, because the mean of its divisors is an integer number (28598913000).

Almost surely, 2^{3948979655040} is an apocalyptic number.

3948979655040 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 3948979655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321321728000).

3948979655040 is an abundant number, since it is smaller than the sum of its proper divisors (10693663800960).

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

3948979655040 is a wasteful number, since it uses less digits than its factorization.

3948979655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 69.

The spelling of 3948979655040 in words is "three trillion, nine hundred forty-eight billion, nine hundred seventy-nine million, six hundred fifty-five thousand, forty".