3290048194801 has 27 divisors (see below), whose sum is σ = 3654314153931. Its totient is φ = 2961246345024.

The previous prime is 3290048194789. The next prime is 3290048194813. The reversal of 3290048194801 is 1084918400923.

The square root of 3290048194801 is 1813849.

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

It is an interprime number because it is at equal distance from previous prime (3290048194789) and next prime (3290048194813).

It can be written as a sum of positive squares in only one way, i.e., 2561456207025 + 728591987776 = 1600455^2 + 853576^2 .

It is not a de Polignac number, because 3290048194801 - 2⁷ = 3290048194673 is a prime.

It is a super-3 number, since 3×3290048194801³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3290042194801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 709212640 + ... + 709217278.

Almost surely, 2^{3290048194801} is an apocalyptic number.

3290048194801 is the 1813849-th square number.

3290048194801 is the 906925-th centered octagonal number.

It is an amenable number.

3290048194801 is a deficient number, since it is larger than the sum of its proper divisors (364265959130).

3290048194801 is an frugal number, since it uses more digits than its factorization.

3290048194801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 3290048194801 by its sum of digits (49), we get a square (161212361545249 = 12696943²).

The spelling of 3290048194801 in words is "three trillion, two hundred ninety billion, forty-eight million, one hundred ninety-four thousand, eight hundred one".