3628162125 has 240 divisors, whose sum is σ = 8056578816. Its totient is φ = 1619352000.

The previous prime is 3628162103. The next prime is 3628162171. The reversal of 3628162125 is 5212618263.

3628162125 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 1 + 621 + 25 = 666.

It is not a de Polignac number, because 3628162125 - 2⁵ = 3628162093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3628162125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35224824 + ... + 35224926.

Almost surely, 2^3628162125 is an apocalyptic number.

3628162125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3628162125 is an abundant number, since it is smaller than the sum of its proper divisors (4428416691).

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

3628162125 is a wasteful number, since it uses less digits than its factorization.

3628162125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 3628162125 is about 60234.2271885346. The cubic root of 3628162125 is about 1536.6049519861.

The spelling of 3628162125 in words is "three billion, six hundred twenty-eight million, one hundred sixty-two thousand, one hundred twenty-five".