3971088 has 120 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1140480.

The previous prime is 3971087. The next prime is 3971117. The reversal of 3971088 is 8801793.

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 (3971087) 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, 36378 + ... + 36486.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^3971088 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 3971088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3971088 is an abundant number, since it is smaller than the sum of its proper divisors (8795952).

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

3971088 is a wasteful number, since it uses less digits than its factorization.

3971088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3971088 is about 1992.7588915872. The cubic root of 3971088 is about 158.3567221835.

It can be divided in two parts, 397 and 1088, that added together give a triangular number (1485 = T₅₄).

The spelling of 3971088 in words is "three million, nine hundred seventy-one thousand, eighty-eight".