3729128 has 32 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 1645248.

The previous prime is 3729109. The next prime is 3729157. The reversal of 3729128 is 8219273.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3729094 and 3729103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1613 + ... + 3171.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 2^3729128 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 3729128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

3729128 is an abundant number, since it is smaller than the sum of its proper divisors (4133272).

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

3729128 is a wasteful number, since it uses less digits than its factorization.

3729128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1597 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 3729128 is about 1931.0950261445. The cubic root of 3729128 is about 155.0728481710.

The spelling of 3729128 in words is "three million, seven hundred twenty-nine thousand, one hundred twenty-eight".