3948839203680 has 480 divisors, whose sum is σ = 16863872832576. Its totient is φ = 849497849856.

The previous prime is 3948839203649. The next prime is 3948839203717. The reversal of 3948839203680 is 863029388493.

3948839203680 is a `hidden beast` number, since 3 + 9 + 488 + 3 + 92 + 0 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 262012 + ... + 2822468.

Almost surely, 2^{3948839203680} is an apocalyptic number.

3948839203680 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 3948839203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8431936416288).

3948839203680 is an abundant number, since it is smaller than the sum of its proper divisors (12915033628896).

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

3948839203680 is a wasteful number, since it uses less digits than its factorization.

3948839203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560508 (or 2560491 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3948839203680 in words is "three trillion, nine hundred forty-eight billion, eight hundred thirty-nine million, two hundred three thousand, six hundred eighty".