3283347624001 has 9 divisors (see below), whose sum is σ = 3374554010121. Its totient is φ = 3194543266992.

The previous prime is 3283347623999. The next prime is 3283347624013. The reversal of 3283347624001 is 1004267433823.

The square root of 3283347624001 is 1812001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36864384001 + 3246483240000 = 192001^2 + 1801800^2 .

It is not a de Polignac number, because 3283347624001 - 2¹ = 3283347623999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3283347624041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67019551 + ... + 67068523.

It is an arithmetic number, because the mean of its divisors is an integer number (374950445569).

Almost surely, 2^{3283347624001} is an apocalyptic number.

3283347624001 is the 1812001-st square number.

3283347624001 is the 906001-st centered octagonal number.

It is an amenable number.

3283347624001 is a deficient number, since it is larger than the sum of its proper divisors (91206386120).

3283347624001 is an frugal number, since it uses more digits than its factorization.

3283347624001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98020 (or 49010 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 3283347624001 in words is "three trillion, two hundred eighty-three billion, three hundred forty-seven million, six hundred twenty-four thousand, one".