3334000040 has 64 divisors (see below), whose sum is σ = 8593810560. Its totient is φ = 1140330240.

The previous prime is 3334000027. The next prime is 3334000057. The reversal of 3334000040 is 400004333.

3334000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3334000040² = 22231112533440003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3333999982 and 3334000018.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103739 + ... + 132021.

It is an arithmetic number, because the mean of its divisors is an integer number (134278290).

Almost surely, 2^3334000040 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 3334000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296905280).

3334000040 is an abundant number, since it is smaller than the sum of its proper divisors (5259810520).

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

3334000040 is a wasteful number, since it uses less digits than its factorization.

3334000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28722 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 3334000040 is about 57740.8004793837. The cubic root of 3334000040 is about 1493.9011682939.

Adding to 3334000040 its reverse (400004333), we get a palindrome (3734004373).

The spelling of 3334000040 in words is "three billion, three hundred thirty-four million, forty", and thus it is an aban number.