3834214353225 has 81 divisors (see below), whose sum is σ = 7097868075207. Its totient is φ = 1978479396000.

The previous prime is 3834214353191. The next prime is 3834214353259. The reversal of 3834214353225 is 5223534124383.

The square root of 3834214353225 is 1958115.

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

3834214353225 is a `hidden beast` number, since 3 + 8 + 34 + 21 + 43 + 532 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (3834214353191) and next prime (3834214353259).

It can be written as a sum of positive squares in only one way, i.e., 1380317167161 + 2453897186064 = 1174869^2 + 1566492^2 .

It is not a de Polignac number, because 3834214353225 - 2¹⁵ = 3834214320457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 910521370 + ... + 910525580.

Almost surely, 2^{3834214353225} is an apocalyptic number.

3834214353225 is the 1958115-th square number.

3834214353225 is the 979058-th centered octagonal number.

It is an amenable number.

3834214353225 is a deficient number, since it is larger than the sum of its proper divisors (3263653721982).

3834214353225 is an frugal number, since it uses more digits than its factorization.

3834214353225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500 (or 4250 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 3834214353225 in words is "three trillion, eight hundred thirty-four billion, two hundred fourteen million, three hundred fifty-three thousand, two hundred twenty-five".