3438795651201 has 27 divisors (see below), whose sum is σ = 5004266559201. Its totient is φ = 2275525595304.

The previous prime is 3438795651173. The next prime is 3438795651229. The reversal of 3438795651201 is 1021565978343.

It is a happy number.

The square root of 3438795651201 is 1854399.

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

3438795651201 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 79 + 56 + 512 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3438795651173) and next prime (3438795651229).

It is not a de Polignac number, because 3438795651201 - 2¹⁷ = 3438795520129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3438795651241) 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, 773282160 + ... + 773286606.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3438795651201 = 6877591302402, but 3⋅3438795651201 = 10316386953603 is not.

Almost surely, 2^{3438795651201} is an apocalyptic number.

3438795651201 is the 1854399-th square number.

3438795651201 is the 927200-th centered octagonal number.

It is an amenable number.

3438795651201 is a deficient number, since it is larger than the sum of its proper divisors (1565470908000).

3438795651201 is an frugal number, since it uses more digits than its factorization.

3438795651201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3438795651201 in words is "three trillion, four hundred thirty-eight billion, seven hundred ninety-five million, six hundred fifty-one thousand, two hundred one".