3354202152000 has 672 divisors, whose sum is σ = 13741127712000. Its totient is φ = 765080985600.

The previous prime is 3354202151999. The next prime is 3354202152023. The reversal of 3354202152000 is 2512024533.

It is a happy number.

3354202152000 is a `hidden beast` number, since 3 + 3 + 5 + 420 + 215 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3354202152000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251489332 + ... + 251502668.

Almost surely, 2^{3354202152000} is an apocalyptic number.

3354202152000 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 3354202152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6870563856000).

3354202152000 is an abundant number, since it is smaller than the sum of its proper divisors (10386925560000).

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

3354202152000 is a wasteful number, since it uses less digits than its factorization.

3354202152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13876 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 3354202152000 its reverse (2512024533), we get a palindrome (3356714176533).

The spelling of 3354202152000 in words is "three trillion, three hundred fifty-four billion, two hundred two million, one hundred fifty-two thousand".