3402042000 has 160 divisors (see below), whose sum is σ = 12535221504. Its totient is φ = 777600000.

The previous prime is 3402041983. The next prime is 3402042013. The reversal of 3402042000 is 2402043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500 + ... + 82500.

Almost surely, 2^3402042000 is an apocalyptic number.

3402042000 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 3402042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267610752).

3402042000 is an abundant number, since it is smaller than the sum of its proper divisors (9133179504).

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

3402042000 is a wasteful number, since it uses less digits than its factorization.

3402042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81034 (or 81018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3402042000 is about 58327.0263257094. The cubic root of 3402042000 is about 1503.9955697206.

Adding to 3402042000 its reverse (2402043), we get a palindrome (3404444043).

It can be divided in two parts, 34020 and 42000, that multiplied together give a square (1428840000 = 37800²).

The spelling of 3402042000 in words is "three billion, four hundred two million, forty-two thousand".