3704128081920 has 2184 divisors, whose sum is σ = 16159665592896. Its totient is φ = 797759373312.

The previous prime is 3704128081891. The next prime is 3704128081967. The reversal of 3704128081920 is 291808214073.

It is a happy number.

3704128081920 is a `hidden beast` number, since 3 + 70 + 412 + 8 + 0 + 81 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 55285493727 + ... + 55285493793.

Almost surely, 2^{3704128081920} is an apocalyptic number.

3704128081920 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 3704128081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079832796448).

3704128081920 is an abundant number, since it is smaller than the sum of its proper divisors (12455537510976).

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

3704128081920 is an frugal number, since it uses more digits than its factorization.

3704128081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3704128081920 in words is "three trillion, seven hundred four billion, one hundred twenty-eight million, eighty-one thousand, nine hundred twenty".