3340145315672 has 192 divisors, whose sum is σ = 7351799241600. Its totient is φ = 1410458480640.

The previous prime is 3340145315537. The next prime is 3340145315687. The reversal of 3340145315672 is 2765135410433.

It is a super-3 number, since 3×3340145315672³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 47 ways as a sum of consecutive naturals, for example, 2052946523 + ... + 2052948149.

It is an arithmetic number, because the mean of its divisors is an integer number (38290621050).

Almost surely, 2^{3340145315672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340145315672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675899620800).

3340145315672 is an abundant number, since it is smaller than the sum of its proper divisors (4011653925928).

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

3340145315672 is a wasteful number, since it uses less digits than its factorization.

3340145315672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 44.

The spelling of 3340145315672 in words is "three trillion, three hundred forty billion, one hundred forty-five million, three hundred fifteen thousand, six hundred seventy-two".