3908874977280 has 2880 divisors, whose sum is σ = 18033908256000. Its totient is φ = 776868986880.

The previous prime is 3908874977261. The next prime is 3908874977291. The reversal of 3908874977280 is 827794788093.

3908874977280 is a `hidden beast` number, since 39 + 0 + 8 + 87 + 497 + 7 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 3908874977199 and 3908874977208.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95338414060 + ... + 95338414100.

It is an arithmetic number, because the mean of its divisors is an integer number (6261773700).

Almost surely, 2^{3908874977280} is an apocalyptic number.

3908874977280 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 3908874977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016954128000).

3908874977280 is an abundant number, since it is smaller than the sum of its proper divisors (14125033278720).

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

3908874977280 is a wasteful number, since it uses less digits than its factorization.

3908874977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 3908874977280 in words is "three trillion, nine hundred eight billion, eight hundred seventy-four million, nine hundred seventy-seven thousand, two hundred eighty".