3779830262880 has 1728 divisors, whose sum is σ = 16852553807040. Its totient is φ = 786189680640.

The previous prime is 3779830262869. The next prime is 3779830262881. The reversal of 3779830262880 is 882620389773.

It is a super-3 number, since 3×3779830262880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3779830262881) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3458215614 + ... + 3458216706.

It is an arithmetic number, because the mean of its divisors is an integer number (9752635305).

Almost surely, 2^{3779830262880} is an apocalyptic number.

3779830262880 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 3779830262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426276903520).

3779830262880 is an abundant number, since it is smaller than the sum of its proper divisors (13072723544160).

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

3779830262880 is a wasteful number, since it uses less digits than its factorization.

3779830262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 3779830262880 in words is "three trillion, seven hundred seventy-nine billion, eight hundred thirty million, two hundred sixty-two thousand, eight hundred eighty".