3354147225 has 243 divisors, whose sum is σ = 7425123069. Its totient is φ = 1501156800.

The previous prime is 3354147179. The next prime is 3354147253. The reversal of 3354147225 is 5227414533.

The square root of 3354147225 is 57915.

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 864536409 + 2489610816 = 29403^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a de Polignac number, because none of the positive numbers 2^k-3354147225 is a prime.

It is a super-2 number, since 2×3354147225² = 22500607213950401250, which contains 22 as substring.

Its product of digits (100800) is a multiple of the sum of its prime divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3354147225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 258011319 + ... + 258011331.

Almost surely, 2^3354147225 is an apocalyptic number.

3354147225 is the 57915-th square number.

3354147225 is the 28958-th centered octagonal number.

It is an amenable number.

3354147225 is an abundant number, since it is smaller than the sum of its proper divisors (4070975844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3354147225 is an equidigital number, since it uses as much as digits as its factorization.

3354147225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 32 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The cubic root of 3354147225 is about 1496.9043155536.

Multiplying 3354147225 by its sum of digits (36), we get a square (120749300100 = 347490²).

The spelling of 3354147225 in words is "three billion, three hundred fifty-four million, one hundred forty-seven thousand, two hundred twenty-five".