3616128 has 96 divisors (see below), whose sum is σ = 10793640. Its totient is φ = 1161216.

The previous prime is 3616127. The next prime is 3616147. The reversal of 3616128 is 8216163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49500 + ... + 49572.

Almost surely, 2^3616128 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 3616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396820).

3616128 is an abundant number, since it is smaller than the sum of its proper divisors (7177512).

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

3616128 is a wasteful number, since it uses less digits than its factorization.

3616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3616128 is about 1901.6119477959. The cubic root of 3616128 is about 153.4904166298.

The spelling of 3616128 in words is "three million, six hundred sixteen thousand, one hundred twenty-eight".