3428688025 has 45 divisors (see below), whose sum is σ = 4980712991. Its totient is φ = 2341263120.

The previous prime is 3428688019. The next prime is 3428688037. The reversal of 3428688025 is 5208868243.

The square root of 3428688025 is 58555.

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

It can be written as a sum of positive squares in only one way, i.e., 1234327689 + 2194360336 = 35133^2 + 46844^2 .

It is not a de Polignac number, because 3428688025 - 2¹¹ = 3428685977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14345856 + ... + 14346094.

Almost surely, 2^3428688025 is an apocalyptic number.

3428688025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3428688025 is the 58555-th square number.

3428688025 is the 29278-th centered octagonal number.

It is an amenable number.

3428688025 is a deficient number, since it is larger than the sum of its proper divisors (1552024966).

3428688025 is an frugal number, since it uses more digits than its factorization.

3428688025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The cubic root of 3428688025 is about 1507.9119752049.

The spelling of 3428688025 in words is "three billion, four hundred twenty-eight million, six hundred eighty-eight thousand, twenty-five".