3340042000 has 80 divisors (see below), whose sum is σ = 8187212592. Its totient is φ = 1317657600.

The previous prime is 3340041989. The next prime is 3340042001. The reversal of 3340042000 is 2400433.

3340042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 396328464 + 2943713536 = 19908^2 + 54256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3340042000² = 22311761123528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3340042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134562 + ... + 157438.

Almost surely, 2^3340042000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093606296).

3340042000 is an abundant number, since it is smaller than the sum of its proper divisors (4847170592).

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

3340042000 is a wasteful number, since it uses less digits than its factorization.

3340042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22973 (or 22957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 3340042000 is about 57793.0964735409. The cubic root of 3340042000 is about 1494.8030523211.

Adding to 3340042000 its reverse (2400433), we get a palindrome (3342442433).

The spelling of 3340042000 in words is "three billion, three hundred forty million, forty-two thousand".