3387356401 has 45 divisors (see below), whose sum is σ = 4146731505. Its totient is φ = 2765711520.

The previous prime is 3387356393. The next prime is 3387356417. The reversal of 3387356401 is 1046537833.

The square root of 3387356401 is 58201.

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 14070001 + 3373286400 = 3751^2 + 58080^2 .

It is not a de Polignac number, because 3387356401 - 2³ = 3387356393 is a prime.

It is a super-2 number, since 2×3387356401² = 22948366774791345602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3387356431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 91550155 + ... + 91550191.

It is an arithmetic number, because the mean of its divisors is an integer number (92149589).

Almost surely, 2^3387356401 is an apocalyptic number.

3387356401 is the 58201-st square number.

3387356401 is the 29101-st centered octagonal number.

It is an amenable number.

3387356401 is a deficient number, since it is larger than the sum of its proper divisors (759375104).

3387356401 is an frugal number, since it uses more digits than its factorization.

3387356401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The cubic root of 3387356401 is about 1501.8283484484.

The spelling of 3387356401 in words is "three billion, three hundred eighty-seven million, three hundred fifty-six thousand, four hundred one".