3948672 has 128 divisors (see below), whose sum is σ = 13023360. Its totient is φ = 1032192.

The previous prime is 3948667. The next prime is 3948673. The reversal of 3948672 is 2768493.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3948672.

It is not an unprimeable number, because it can be changed into a prime (3948673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34888 + ... + 35000.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 2^3948672 is an apocalyptic number.

3948672 is a gapful number since it is divisible by the number (32) 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 3948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511680).

3948672 is an abundant number, since it is smaller than the sum of its proper divisors (9074688).

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

3948672 is a wasteful number, since it uses less digits than its factorization.

3948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3948672 is about 1987.1265686916. The cubic root of 3948672 is about 158.0581957283.

It can be divided in two parts, 3948 and 672, that multiplied together give a triangular number (2653056 = T₂₃₀₃).

The spelling of 3948672 in words is "three million, nine hundred forty-eight thousand, six hundred seventy-two".