3406670040032 has 192 divisors, whose sum is σ = 8298022320000. Its totient is φ = 1371381129216.

The previous prime is 3406670040013. The next prime is 3406670040073. The reversal of 3406670040032 is 2300400766043.

3406670040032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3406670040032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3406670039974 and 3406670040001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94957394 + ... + 94993262.

It is an arithmetic number, because the mean of its divisors is an integer number (43218866250).

Almost surely, 2^{3406670040032} is an apocalyptic number.

3406670040032 is a gapful number since it is divisible by the number (32) 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 3406670040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149011160000).

3406670040032 is an abundant number, since it is smaller than the sum of its proper divisors (4891352279968).

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

3406670040032 is a wasteful number, since it uses less digits than its factorization.

3406670040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36426 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 3406670040032 in words is "three trillion, four hundred six billion, six hundred seventy million, forty thousand, thirty-two".