3656128000 has 160 divisors (see below), whose sum is σ = 10420458048. Its totient is φ = 1253376000.

The previous prime is 3656127971. The next prime is 3656128061. The reversal of 3656128000 is 8216563.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 443920 + ... + 452080.

Almost surely, 2^3656128000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3656128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210229024).

3656128000 is an abundant number, since it is smaller than the sum of its proper divisors (6764330048).

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

3656128000 is an frugal number, since it uses more digits than its factorization.

3656128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 3656128000 is about 60465.9242879822. The cubic root of 3656128000 is about 1540.5429018567.

The spelling of 3656128000 in words is "three billion, six hundred fifty-six million, one hundred twenty-eight thousand".