3742255498176 has 896 divisors, whose sum is σ = 12785487052800. Its totient is φ = 1064846684160.

The previous prime is 3742255498159. The next prime is 3742255498181. The reversal of 3742255498176 is 6718945522473.

It is a happy number.

3742255498176 is a `hidden beast` number, since 3 + 7 + 4 + 2 + 2 + 5 + 549 + 81 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1407390735 + ... + 1407393393.

It is an arithmetic number, because the mean of its divisors is an integer number (14269516800).

Almost surely, 2^{3742255498176} is an apocalyptic number.

3742255498176 is a gapful number since it is divisible by the number (36) 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 3742255498176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392743526400).

3742255498176 is an abundant number, since it is smaller than the sum of its proper divisors (9043231554624).

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

3742255498176 is a wasteful number, since it uses less digits than its factorization.

3742255498176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2798 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 3742255498176 in words is "three trillion, seven hundred forty-two billion, two hundred fifty-five million, four hundred ninety-eight thousand, one hundred seventy-six".