3956859780480 has 1024 divisors, whose sum is σ = 15890300928000. Its totient is φ = 925266862080.

The previous prime is 3956859780443. The next prime is 3956859780493. The reversal of 3956859780480 is 840879586593.

3956859780480 is a `hidden beast` number, since 3 + 9 + 5 + 68 + 5 + 9 + 7 + 80 + 480 = 666.

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 = 3956859780399 and 3956859780408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234083709 + ... + 234100611.

It is an arithmetic number, because the mean of its divisors is an integer number (15517872000).

Almost surely, 2^{3956859780480} is an apocalyptic number.

3956859780480 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 3956859780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945150464000).

3956859780480 is an abundant number, since it is smaller than the sum of its proper divisors (11933441147520).

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

3956859780480 is a wasteful number, since it uses less digits than its factorization.

3956859780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17004 (or 16986 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 3956859780480 in words is "three trillion, nine hundred fifty-six billion, eight hundred fifty-nine million, seven hundred eighty thousand, four hundred eighty".