3353394576000 has 768 divisors, whose sum is σ = 13109256501120. Its totient is φ = 755951616000.

The previous prime is 3353394575983. The next prime is 3353394576001. The reversal of 3353394576000 is 6754933533.

It is a super-3 number, since 3×3353394576000³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3353394576001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171686235 + ... + 171705765.

Almost surely, 2^{3353394576000} is an apocalyptic number.

3353394576000 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 3353394576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554628250560).

3353394576000 is an abundant number, since it is smaller than the sum of its proper divisors (9755861925120).

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

3353394576000 is a wasteful number, since it uses less digits than its factorization.

3353394576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19650 (or 19621 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 48.

The spelling of 3353394576000 in words is "three trillion, three hundred fifty-three billion, three hundred ninety-four million, five hundred seventy-six thousand".