3340214212608 has 3072 divisors, whose sum is σ = 14089420800000. Its totient is φ = 772533780480.

The previous prime is 3340214212591. The next prime is 3340214212633. The reversal of 3340214212608 is 8062124120433.

3340214212608 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 2 + 1 + 42 + 1 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×3340214212608² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 107748845553 + ... + 107748845583.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400000).

Almost surely, 2^{3340214212608} is an apocalyptic number.

3340214212608 is a gapful number since it is divisible by the number (38) 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 3340214212608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044710400000).

3340214212608 is an abundant number, since it is smaller than the sum of its proper divisors (10749206587392).

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

3340214212608 is a wasteful number, since it uses less digits than its factorization.

3340214212608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3340214212608 in words is "three trillion, three hundred forty billion, two hundred fourteen million, two hundred twelve thousand, six hundred eight".