3428231596800 has 216 divisors, whose sum is σ = 11589829401360. Its totient is φ = 891897446400.

The previous prime is 3428231596793. The next prime is 3428231596813. The reversal of 3428231596800 is 86951328243.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1390285 + ... + 2964684.

Almost surely, 2^{3428231596800} is an apocalyptic number.

3428231596800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428231596800 is an abundant number, since it is smaller than the sum of its proper divisors (8161597804560).

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

3428231596800 is a wasteful number, since it uses less digits than its factorization.

3428231596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355039 (or 4355020 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 3428231596800 in words is "three trillion, four hundred twenty-eight billion, two hundred thirty-one million, five hundred ninety-six thousand, eight hundred".