3349174500000 has 2016 divisors, whose sum is σ = 14610694230720. Its totient is φ = 743904000000.

The previous prime is 3349174499999. The next prime is 3349174500029. The reversal of 3349174500000 is 54719433.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×3349174500000² (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 an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 40351499959 + ... + 40351500041.

It is an arithmetic number, because the mean of its divisors is an integer number (7247368170).

Almost surely, 2^{3349174500000} is an apocalyptic number.

3349174500000 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 3349174500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305347115360).

3349174500000 is an abundant number, since it is smaller than the sum of its proper divisors (11261519730720).

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

3349174500000 is an frugal number, since it uses more digits than its factorization.

3349174500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 3349174500000 in words is "three trillion, three hundred forty-nine billion, one hundred seventy-four million, five hundred thousand".