3342193452000 has 576 divisors, whose sum is σ = 13185980720640. Its totient is φ = 796151808000.

The previous prime is 3342193451999. The next prime is 3342193452023. The reversal of 3342193452000 is 2543912433.

3342193452000 is a `hidden beast` number, since 3 + 3 + 42 + 1 + 93 + 4 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×3342193452000² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14392816 + ... + 14623184.

It is an arithmetic number, because the mean of its divisors is an integer number (22892327640).

Almost surely, 2^{3342193452000} is an apocalyptic number.

3342193452000 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 3342193452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592990360320).

3342193452000 is an abundant number, since it is smaller than the sum of its proper divisors (9843787268640).

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

3342193452000 is a wasteful number, since it uses less digits than its factorization.

3342193452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230444 (or 230423 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3342193452000 in words is "three trillion, three hundred forty-two billion, one hundred ninety-three million, four hundred fifty-two thousand".