3742116319872 has 320 divisors, whose sum is σ = 12738744944640. Its totient is φ = 1068223334400.

The previous prime is 3742116319859. The next prime is 3742116319889. The reversal of 3742116319872 is 2789136112473.

3742116319872 is a `hidden beast` number, since 3 + 7 + 421 + 1 + 63 + 1 + 98 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83512578 + ... + 83557374.

It is an arithmetic number, because the mean of its divisors is an integer number (39808577952).

Almost surely, 2^{3742116319872} is an apocalyptic number.

3742116319872 is a gapful number since it is divisible by the number (32) 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 3742116319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369372472320).

3742116319872 is an abundant number, since it is smaller than the sum of its proper divisors (8996628624768).

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

3742116319872 is a wasteful number, since it uses less digits than its factorization.

3742116319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45981 (or 45960 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 3742116319872 in words is "three trillion, seven hundred forty-two billion, one hundred sixteen million, three hundred nineteen thousand, eight hundred seventy-two".