3406037790000 has 200 divisors, whose sum is σ = 11030528500992. Its totient is φ = 905353760000.

The previous prime is 3406037789929. The next prime is 3406037790047. The reversal of 3406037790000 is 977306043.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9147469 + ... + 9512531.

Almost surely, 2^{3406037790000} is an apocalyptic number.

3406037790000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406037790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515264250496).

3406037790000 is an abundant number, since it is smaller than the sum of its proper divisors (7624490710992).

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

3406037790000 is a wasteful number, since it uses less digits than its factorization.

3406037790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365405 (or 365384 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 3406037790000 in words is "three trillion, four hundred six billion, thirty-seven million, seven hundred ninety thousand".