3334004037 has 128 divisors (see below), whose sum is σ = 6268416000. Its totient is φ = 1704810240.

The previous prime is 3334004033. The next prime is 3334004087. The reversal of 3334004037 is 7304004333.

It is not a de Polignac number, because 3334004037 - 2² = 3334004033 is a prime.

It is a super-2 number, since 2×3334004037² = 22231165837464594738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3334004037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334004033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15800862 + ... + 15801072.

It is an arithmetic number, because the mean of its divisors is an integer number (48972000).

Almost surely, 2^3334004037 is an apocalyptic number.

It is an amenable number.

3334004037 is a deficient number, since it is larger than the sum of its proper divisors (2934411963).

3334004037 is a wasteful number, since it uses less digits than its factorization.

3334004037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3334004037 is about 57740.8350909476. The cubic root of 3334004037 is about 1493.9017652865.

The spelling of 3334004037 in words is "three billion, three hundred thirty-four million, four thousand, thirty-seven".