3386908264320 has 768 divisors, whose sum is σ = 13458038630400. Its totient is φ = 768855048192.

The previous prime is 3386908264303. The next prime is 3386908264343. The reversal of 3386908264320 is 234628096833.

It is a super-2 number, since 2×3386908264320² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7315136409 + ... + 7315136871.

It is an arithmetic number, because the mean of its divisors is an integer number (17523487800).

Almost surely, 2^{3386908264320} is an apocalyptic number.

3386908264320 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 3386908264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729019315200).

3386908264320 is an abundant number, since it is smaller than the sum of its proper divisors (10071130366080).

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

3386908264320 is a wasteful number, since it uses less digits than its factorization.

3386908264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3386908264320 in words is "three trillion, three hundred eighty-six billion, nine hundred eight million, two hundred sixty-four thousand, three hundred twenty".