3673783828480 has 256 divisors, whose sum is σ = 8944954986240. Its totient is φ = 1448327774208.

The previous prime is 3673783828441. The next prime is 3673783828489. The reversal of 3673783828480 is 848283873763.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×3673783828480² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3673783828489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4944526989 + ... + 4944527731.

It is an arithmetic number, because the mean of its divisors is an integer number (34941230415).

Almost surely, 2^{3673783828480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3673783828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472477493120).

3673783828480 is an abundant number, since it is smaller than the sum of its proper divisors (5271171157760).

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

3673783828480 is an equidigital number, since it uses as much as digits as its factorization.

3673783828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 67.

The spelling of 3673783828480 in words is "three trillion, six hundred seventy-three billion, seven hundred eighty-three million, eight hundred twenty-eight thousand, four hundred eighty".