3458833920000 has 1040 divisors, whose sum is σ = 12925356062080. Its totient is φ = 913711104000.

The previous prime is 3458833919927. The next prime is 3458833920019. The reversal of 3458833920000 is 293388543.

3458833920000 is a `hidden beast` number, since 34 + 5 + 88 + 339 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×3458833920000² (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 79 ways as a sum of consecutive naturals, for example, 11266559847 + ... + 11266560153.

Almost surely, 2^{3458833920000} is an apocalyptic number.

3458833920000 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 3458833920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462678031040).

3458833920000 is an abundant number, since it is smaller than the sum of its proper divisors (9466522142080).

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

3458833920000 is an equidigital number, since it uses as much as digits as its factorization.

3458833920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3458833920000 in words is "three trillion, four hundred fifty-eight billion, eight hundred thirty-three million, nine hundred twenty thousand".