3640128192 has 336 divisors, whose sum is σ = 11297594880. Its totient is φ = 1118767104.

The previous prime is 3640128187. The next prime is 3640128199. The reversal of 3640128192 is 2918210463.

3640128192 is a `hidden beast` number, since 3 + 640 + 1 + 2 + 8 + 1 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3640128199) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61697059 + ... + 61697117.

Almost surely, 2^3640128192 is an apocalyptic number.

3640128192 is a gapful number since it is divisible by the number (32) 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 3640128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648797440).

3640128192 is an abundant number, since it is smaller than the sum of its proper divisors (7657466688).

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

3640128192 is a wasteful number, since it uses less digits than its factorization.

3640128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3640128192 is about 60333.4748874951. The cubic root of 3640128192 is about 1538.2923940853.

The spelling of 3640128192 in words is "three billion, six hundred forty million, one hundred twenty-eight thousand, one hundred ninety-two".