3370036667004 has 192 divisors, whose sum is σ = 10455014062080. Its totient is φ = 917859064320.

The previous prime is 3370036667003. The next prime is 3370036667021. The reversal of 3370036667004 is 4007666300733.

It is a super-2 number, since 2×3370036667004² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370036667003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4763944 + ... + 5425424.

It is an arithmetic number, because the mean of its divisors is an integer number (54453198240).

Almost surely, 2^{3370036667004} 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 3370036667004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227507031040).

3370036667004 is an abundant number, since it is smaller than the sum of its proper divisors (7084977395076).

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

3370036667004 is a wasteful number, since it uses less digits than its factorization.

3370036667004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661817 (or 661809 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

It can be divided in two parts, 337003 and 6667004, that added together give a palindrome (7004007).

The spelling of 3370036667004 in words is "three trillion, three hundred seventy billion, thirty-six million, six hundred sixty-seven thousand, four".