3466623825 has 300 divisors, whose sum is σ = 8069031168. Its totient is φ = 1466942400.

The previous prime is 3466623793. The next prime is 3466623827. The reversal of 3466623825 is 5283266643.

It is a happy number.

3466623825 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3466623825 - 2⁵ = 3466623793 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3466623827) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 111826560 + ... + 111826590.

Almost surely, 2^3466623825 is an apocalyptic number.

3466623825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3466623825 is an abundant number, since it is smaller than the sum of its proper divisors (4602407343).

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

3466623825 is an equidigital number, since it uses as much as digits as its factorization.

3466623825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 3466623825 is about 58878.0419596304. The cubic root of 3466623825 is about 1513.4528858773.

The spelling of 3466623825 in words is "three billion, four hundred sixty-six million, six hundred twenty-three thousand, eight hundred twenty-five".