3645950128 has 40 divisors (see below), whose sum is σ = 7462270400. Its totient is φ = 1720885824.

The previous prime is 3645950107. The next prime is 3645950131. The reversal of 3645950128 is 8210595463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64843 + ... + 107221.

It is an arithmetic number, because the mean of its divisors is an integer number (186556760).

Almost surely, 2^3645950128 is an apocalyptic number.

3645950128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645950128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731135200).

3645950128 is an abundant number, since it is smaller than the sum of its proper divisors (3816320272).

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

3645950128 is a wasteful number, since it uses less digits than its factorization.

3645950128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42689 (or 42683 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 3645950128 is about 60381.7035864342. The cubic root of 3645950128 is about 1539.1120602295.

The spelling of 3645950128 in words is "three billion, six hundred forty-five million, nine hundred fifty thousand, one hundred twenty-eight".