3901536 has 144 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 1140480.

The previous prime is 3901531. The next prime is 3901543. The reversal of 3901536 is 6351093.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125841 + ... + 125871.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

Almost surely, 2^3901536 is an apocalyptic number.

3901536 is a gapful number since it is divisible by the number (36) 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 3901536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

3901536 is an abundant number, since it is smaller than the sum of its proper divisors (8678304).

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

3901536 is a wasteful number, since it uses less digits than its factorization.

3901536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 3901536 is about 1975.2306194468. The cubic root of 3901536 is about 157.4267535454.

The spelling of 3901536 in words is "three million, nine hundred one thousand, five hundred thirty-six".