3356429406912 has 896 divisors, whose sum is σ = 11326036377600. Its totient is φ = 968465203200.

The previous prime is 3356429406887. The next prime is 3356429406917. The reversal of 3356429406912 is 2196049246533.

3356429406912 is a `hidden beast` number, since 3 + 3 + 564 + 2 + 9 + 4 + 0 + 69 + 12 = 666.

It is a super-2 number, since 2×3356429406912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3356429406917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4000511389 + ... + 4000512227.

It is an arithmetic number, because the mean of its divisors is an integer number (12640665600).

Almost surely, 2^{3356429406912} is an apocalyptic number.

3356429406912 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 3356429406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663018188800).

3356429406912 is an abundant number, since it is smaller than the sum of its proper divisors (7969606970688).

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

3356429406912 is a wasteful number, since it uses less digits than its factorization.

3356429406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3356429406912 in words is "three trillion, three hundred fifty-six billion, four hundred twenty-nine million, four hundred six thousand, nine hundred twelve".