3951279780480 has 384 divisors, whose sum is σ = 14129886551040. Its totient is φ = 1016392089600.

The previous prime is 3951279780467. The next prime is 3951279780491. The reversal of 3951279780480 is 840879721593.

3951279780480 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 2 + 79 + 7 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3951279780480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55496584 + ... + 55567736.

It is an arithmetic number, because the mean of its divisors is an integer number (36796579560).

Almost surely, 2^{3951279780480} is an apocalyptic number.

3951279780480 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 3951279780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064943275520).

3951279780480 is an abundant number, since it is smaller than the sum of its proper divisors (10178606770560).

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

3951279780480 is a wasteful number, since it uses less digits than its factorization.

3951279780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71520 (or 71505 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 3951279780480 in words is "three trillion, nine hundred fifty-one billion, two hundred seventy-nine million, seven hundred eighty thousand, four hundred eighty".