3629296125 has 288 divisors, whose sum is σ = 8479441152. Its totient is φ = 1516320000.

The previous prime is 3629296091. The next prime is 3629296129. The reversal of 3629296125 is 5216929263.

3629296125 is a `hidden beast` number, since 3 + 6 + 2 + 9 + 29 + 612 + 5 = 666.

It is not a de Polignac number, because 3629296125 - 2⁶ = 3629296061 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629296129) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35933575 + ... + 35933675.

It is an arithmetic number, because the mean of its divisors is an integer number (29442504).

Almost surely, 2^3629296125 is an apocalyptic number.

3629296125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3629296125 is an abundant number, since it is smaller than the sum of its proper divisors (4850145027).

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

3629296125 is a wasteful number, since it uses less digits than its factorization.

3629296125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3629296125 is about 60243.6397057814. The cubic root of 3629296125 is about 1536.7650264668.

The spelling of 3629296125 in words is "three billion, six hundred twenty-nine million, two hundred ninety-six thousand, one hundred twenty-five".