3402972225 has 27 divisors (see below), whose sum is σ = 6096669033. Its totient is φ = 1814451840.

The previous prime is 3402972217. The next prime is 3402972247. The reversal of 3402972225 is 5222792043.

The square root of 3402972225 is 58335.

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

3402972225 is a `hidden beast` number, since 340 + 2 + 97 + 2 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28291761 + 3374680464 = 5319^2 + 58092^2 .

It is not a de Polignac number, because 3402972225 - 2³ = 3402972217 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3402972225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 873081 + ... + 876969.

Almost surely, 2^3402972225 is an apocalyptic number.

3402972225 is the 58335-th square number.

3402972225 is the 29168-th centered octagonal number.

It is an amenable number.

3402972225 is a deficient number, since it is larger than the sum of its proper divisors (2693696808).

3402972225 is an frugal number, since it uses more digits than its factorization.

3402972225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 3402972225 is about 1504.1326370842.

Multiplying 3402972225 by its sum of digits (36), we get a square (122507000100 = 350010²).

The spelling of 3402972225 in words is "three billion, four hundred two million, nine hundred seventy-two thousand, two hundred twenty-five".