3402120042 has 48 divisors (see below), whose sum is σ = 7702767072. Its totient is φ = 1125362160.

The previous prime is 3402120011. The next prime is 3402120047. The reversal of 3402120042 is 2400212043.

3402120042 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 3402119997 and 3402120024.

It is not an unprimeable number, because it can be changed into a prime (3402120047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36948 + ... + 90384.

It is an arithmetic number, because the mean of its divisors is an integer number (160474314).

Almost surely, 2^3402120042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851383536).

3402120042 is an abundant number, since it is smaller than the sum of its proper divisors (4300647030).

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

3402120042 is a wasteful number, since it uses less digits than its factorization.

3402120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53585 (or 53573 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3402120042 is about 58327.6953256341. The cubic root of 3402120042 is about 1504.0070700612.

Adding to 3402120042 its reverse (2400212043), we get a palindrome (5802332085).

The spelling of 3402120042 in words is "three billion, four hundred two million, one hundred twenty thousand, forty-two".