3442342176 has 576 divisors, whose sum is σ = 13150126080. Its totient is φ = 828610560.

The previous prime is 3442342171. The next prime is 3442342217. The reversal of 3442342176 is 6712432443.

3442342176 is a `hidden beast` number, since 3 + 442 + 3 + 42 + 176 = 666.

3442342176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 3442342176.

It is not an unprimeable number, because it can be changed into a prime (3442342171) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15436401 + ... + 15436623.

It is an arithmetic number, because the mean of its divisors is an integer number (22830080).

Almost surely, 2^3442342176 is an apocalyptic number.

3442342176 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 3442342176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575063040).

3442342176 is an abundant number, since it is smaller than the sum of its proper divisors (9707783904).

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

3442342176 is a wasteful number, since it uses less digits than its factorization.

3442342176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3442342176 is about 58671.4766816040. The cubic root of 3442342176 is about 1509.9109893002.

The spelling of 3442342176 in words is "three billion, four hundred forty-two million, three hundred forty-two thousand, one hundred seventy-six".