3346890961401 has 81 divisors (see below), whose sum is σ = 5329035112167. Its totient is φ = 2023226449920.

The previous prime is 3346890961361. The next prime is 3346890961409. The reversal of 3346890961401 is 1041690986433.

The square root of 3346890961401 is 1829451.

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

3346890961401 is a `hidden beast` number, since 3 + 3 + 4 + 68 + 90 + 96 + 1 + 401 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3017846468025 + 329044493376 = 1737195^2 + 573624^2 .

It is not a de Polignac number, because 3346890961401 - 2¹⁹ = 3346890437113 is a prime.

It is a super-2 number, since 2×3346890961401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3346890961409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4352263545 + ... + 4352264313.

Almost surely, 2^{3346890961401} is an apocalyptic number.

3346890961401 is the 1829451-st square number.

3346890961401 is the 914726-th centered octagonal number.

It is an amenable number.

3346890961401 is a deficient number, since it is larger than the sum of its proper divisors (1982144150766).

3346890961401 is an frugal number, since it uses more digits than its factorization.

3346890961401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3346890961401 in words is "three trillion, three hundred forty-six billion, eight hundred ninety million, nine hundred sixty-one thousand, four hundred one".