3783479777280 has 480 divisors, whose sum is σ = 15498496933920. Its totient is φ = 864794050560.

The previous prime is 3783479777279. The next prime is 3783479777293. The reversal of 3783479777280 is 827779743873.

3783479777280 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 479 + 7 + 7 + 72 + 80 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 3783479777199 and 3783479777208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5480260 + ... + 6131900.

It is an arithmetic number, because the mean of its divisors is an integer number (32288535279).

Almost surely, 2^{3783479777280} is an apocalyptic number.

3783479777280 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 3783479777280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749248466960).

3783479777280 is an abundant number, since it is smaller than the sum of its proper divisors (11715017156640).

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

3783479777280 is an equidigital number, since it uses as much as digits as its factorization.

3783479777280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651687 (or 651658 counting only the distinct ones).

The product of its (nonzero) digits is 697019904, while the sum is 72.

The spelling of 3783479777280 in words is "three trillion, seven hundred eighty-three billion, four hundred seventy-nine million, seven hundred seventy-seven thousand, two hundred eighty".