3346134133680 has 160 divisors (see below), whose sum is σ = 12412155779520. Its totient is φ = 823663779840.

The previous prime is 3346134133663. The next prime is 3346134133721. The reversal of 3346134133680 is 863314316433.

It is a super-2 number, since 2×3346134133680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 59554081 + ... + 59610240.

It is an arithmetic number, because the mean of its divisors is an integer number (77575973622).

Almost surely, 2^{3346134133680} is an apocalyptic number.

3346134133680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3346134133680 is an abundant number, since it is smaller than the sum of its proper divisors (9066021645840).

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

3346134133680 is a wasteful number, since it uses less digits than its factorization.

3346134133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119164356 (or 119164344 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 3346134133680 in words is "three trillion, three hundred forty-six billion, one hundred thirty-four million, one hundred thirty-three thousand, six hundred eighty".