3357693424801 has 9 divisors (see below), whose sum is σ = 3370201858009. Its totient is φ = 3345231265600.

The previous prime is 3357693424783. The next prime is 3357693424823. The reversal of 3357693424801 is 1084243967533.

It is a happy number.

The square root of 3357693424801 is 1832401.

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

3357693424801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1366207984801 + 1991485440000 = 1168849^2 + 1411200^2 .

It is not a de Polignac number, because 3357693424801 - 2⁵ = 3357693424769 is a prime.

It is a super-2 number, since 2×3357693424801² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3357693422801) 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, 514901421 + ... + 514907941.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3357693424801 = 6715386849602, but 3⋅3357693424801 = 10073080274403 is not.

Almost surely, 2^{3357693424801} is an apocalyptic number.

3357693424801 is the 1832401-st square number.

3357693424801 is the 916201-st centered octagonal number.

It is an amenable number.

3357693424801 is a deficient number, since it is larger than the sum of its proper divisors (12508433208).

3357693424801 is an frugal number, since it uses more digits than its factorization.

3357693424801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 3357693424801 in words is "three trillion, three hundred fifty-seven billion, six hundred ninety-three million, four hundred twenty-four thousand, eight hundred one".