3948826775040 has 1600 divisors, whose sum is σ = 17160245245440. Its totient is φ = 847780577280.

The previous prime is 3948826775009. The next prime is 3948826775123. The reversal of 3948826775040 is 405776288493.

3948826775040 is a `hidden beast` number, since 3 + 9 + 48 + 82 + 6 + 7 + 7 + 504 + 0 = 666.

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3612832734 + ... + 3612833826.

Almost surely, 2^{3948826775040} is an apocalyptic number.

3948826775040 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 3948826775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580122622720).

3948826775040 is an abundant number, since it is smaller than the sum of its proper divisors (13211418470400).

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

3948826775040 is a wasteful number, since it uses less digits than its factorization.

3948826775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3948826775040 in words is "three trillion, nine hundred forty-eight billion, eight hundred twenty-six million, seven hundred seventy-five thousand, forty".