3370004000407 has 16 divisors (see below), whose sum is σ = 3678273099648. Its totient is φ = 3062052875680.

The previous prime is 3370004000399. The next prime is 3370004000411. The reversal of 3370004000407 is 7040004000733.

It is a cyclic number.

It is not a de Polignac number, because 3370004000407 - 2³ = 3370004000399 is a prime.

It is a super-2 number, since 2×3370004000407² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370004000417) 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, 306274968 + ... + 306285970.

It is an arithmetic number, because the mean of its divisors is an integer number (229892068728).

Almost surely, 2^{3370004000407} is an apocalyptic number.

3370004000407 is a deficient number, since it is larger than the sum of its proper divisors (308269099241).

3370004000407 is a wasteful number, since it uses less digits than its factorization.

3370004000407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22910.

The product of its (nonzero) digits is 7056, while the sum is 28.

The spelling of 3370004000407 in words is "three trillion, three hundred seventy billion, four million, four hundred seven", and thus it is an aban number.