3423373148160 has 960 divisors, whose sum is σ = 14028008816640. Its totient is φ = 775878082560.

The previous prime is 3423373148159. The next prime is 3423373148177. The reversal of 3423373148160 is 618413733243.

3423373148160 is a `hidden beast` number, since 3 + 42 + 3 + 3 + 73 + 1 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3423373148160² (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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1966324890 + ... + 1966326630.

It is an arithmetic number, because the mean of its divisors is an integer number (14612509184).

Almost surely, 2^{3423373148160} is an apocalyptic number.

3423373148160 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 3423373148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014004408320).

3423373148160 is an abundant number, since it is smaller than the sum of its proper divisors (10604635668480).

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

3423373148160 is a wasteful number, since it uses less digits than its factorization.

3423373148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3423373148160 in words is "three trillion, four hundred twenty-three billion, three hundred seventy-three million, one hundred forty-eight thousand, one hundred sixty".