3629920405225 has 9 divisors (see below), whose sum is σ = 4501113114967. Its totient is φ = 2903928703240.

The previous prime is 3629920405217. The next prime is 3629920405249. The reversal of 3629920405225 is 5225040299263.

The square root of 3629920405225 is 1905235.

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

3629920405225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1306771345881 + 2323149059344 = 1143141^2 + 1524188^2 .

It is not a de Polignac number, because 3629920405225 - 2³ = 3629920405217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9335652 + ... + 9716698.

Almost surely, 2^{3629920405225} is an apocalyptic number.

3629920405225 is the 1905235-th square number.

3629920405225 is the 952618-th centered octagonal number.

It is an amenable number.

3629920405225 is a deficient number, since it is larger than the sum of its proper divisors (871192709742).

3629920405225 is an frugal number, since it uses more digits than its factorization.

3629920405225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762104 (or 381052 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 3629920405225 by its sum of digits (49), we get a square (177866099856025 = 13336645²).

The spelling of 3629920405225 in words is "three trillion, six hundred twenty-nine billion, nine hundred twenty million, four hundred five thousand, two hundred twenty-five".