3351674304000 has 2880 divisors, whose sum is σ = 14831978496192. Its totient is φ = 718405632000.

The previous prime is 3351674303981. The next prime is 3351674304007. The reversal of 3351674304000 is 4034761533.

3351674304000 is a `hidden beast` number, since 3 + 3 + 516 + 74 + 30 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3351674304000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3351674304007) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 90585791982 + ... + 90585792018.

Almost surely, 2^{3351674304000} is an apocalyptic number.

3351674304000 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 3351674304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415989248096).

3351674304000 is an abundant number, since it is smaller than the sum of its proper divisors (11480304192192).

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

3351674304000 is a wasteful number, since it uses less digits than its factorization.

3351674304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 3351674304000 in words is "three trillion, three hundred fifty-one billion, six hundred seventy-four million, three hundred four thousand".