3370334004 has 36 divisors (see below), whose sum is σ = 8542329796. Its totient is φ = 1120428288.

The previous prime is 3370333991. The next prime is 3370334039. The reversal of 3370334004 is 4004330733.

3370334004 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 2 ways, for example, as 1308992400 + 2061341604 = 36180^2 + 45402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3370334004² = 22718302597037344032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112069 + ... + 138924.

Almost surely, 2^3370334004 is an apocalyptic number.

It is an amenable number.

3370334004 is an abundant number, since it is smaller than the sum of its proper divisors (5171995792).

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

3370334004 is a wasteful number, since it uses less digits than its factorization.

3370334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251376 (or 251371 counting only the distinct ones).

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

The square root of 3370334004 is about 58054.5778039941. The cubic root of 3370334004 is about 1499.3084225294.

Adding to 3370334004 its reverse (4004330733), we get a palindrome (7374664737).

The spelling of 3370334004 in words is "three billion, three hundred seventy million, three hundred thirty-four thousand, four".