3364116001 has 9 divisors (see below), whose sum is σ = 3477995409. Its totient is φ = 3253856100.

The previous prime is 3364115987. The next prime is 3364116017. The reversal of 3364116001 is 1006114633.

It is a happy number.

The square root of 3364116001 is 58001.

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

It is not a de Polignac number, because 3364116001 - 2¹⁹ = 3363591713 is a prime.

It is a super-2 number, since 2×3364116001² = 22634552936368464002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3364116031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1797096 + ... + 1798966.

Almost surely, 2^3364116001 is an apocalyptic number.

3364116001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3364116001 is the 58001-st square number.

3364116001 is the 29001-st centered octagonal number.

It is an amenable number.

3364116001 is a deficient number, since it is larger than the sum of its proper divisors (113879408).

3364116001 is an frugal number, since it uses more digits than its factorization.

3364116001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 3364116001 is about 1498.3858192739.

Multiplying 3364116001 by its sum of digits (25), we get a square (84102900025 = 290005²).

Multiplying 3364116001 by its product of nonzero digits (1296), we get a square (4359894337296 = 2088036²).

The spelling of 3364116001 in words is "three billion, three hundred sixty-four million, one hundred sixteen thousand, one".