3364842746720 has 384 divisors, whose sum is σ = 9968730912000. Its totient is φ = 1044991180800.

The previous prime is 3364842746701. The next prime is 3364842746723. The reversal of 3364842746720 is 276472484633.

It is a super-2 number, since 2×3364842746720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364842746723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166163156 + ... + 166183404.

It is an arithmetic number, because the mean of its divisors is an integer number (25960236750).

Almost surely, 2^{3364842746720} 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 3364842746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984365456000).

3364842746720 is an abundant number, since it is smaller than the sum of its proper divisors (6603888165280).

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

3364842746720 is a wasteful number, since it uses less digits than its factorization.

3364842746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20498 (or 20490 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 56.

The spelling of 3364842746720 in words is "three trillion, three hundred sixty-four billion, eight hundred forty-two million, seven hundred forty-six thousand, seven hundred twenty".