3354504192000 has 2688 divisors, whose sum is σ = 14534886457728. Its totient is φ = 764411904000.

The previous prime is 3354504191989. The next prime is 3354504192001. The reversal of 3354504192000 is 2914054533.

3354504192000 is a `hidden beast` number, since 3 + 35 + 4 + 5 + 0 + 419 + 200 + 0 = 666.

It is a super-2 number, since 2×3354504192000² (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 (3354504192001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54991871970 + ... + 54991872030.

It is an arithmetic number, because the mean of its divisors is an integer number (5407323831).

Almost surely, 2^{3354504192000} is an apocalyptic number.

3354504192000 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 3354504192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267443228864).

3354504192000 is an abundant number, since it is smaller than the sum of its proper divisors (11180382265728).

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

3354504192000 is an equidigital number, since it uses as much as digits as its factorization.

3354504192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 3354504192000 in words is "three trillion, three hundred fifty-four billion, five hundred four million, one hundred ninety-two thousand".