3755808000000 has 2352 divisors, whose sum is σ = 16784166409920. Its totient is φ = 821145600000.

The previous prime is 3755807999989. The next prime is 3755808000019. The reversal of 3755808000000 is 8085573.

It is a happy number.

3755808000000 is a `hidden beast` number, since 3 + 75 + 580 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 163295999989 + ... + 163296000011.

Almost surely, 2^{3755808000000} is an apocalyptic number.

3755808000000 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 3755808000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392083204960).

3755808000000 is an abundant number, since it is smaller than the sum of its proper divisors (13028358409920).

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

3755808000000 is an frugal number, since it uses more digits than its factorization.

3755808000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 3755808000000 in words is "three trillion, seven hundred fifty-five billion, eight hundred eight million", and thus it is an aban number.