4097376 has 72 divisors (see below), whose sum is σ = 11970504. Its totient is φ = 1328640.

The previous prime is 4097371. The next prime is 4097383. The reversal of 4097376 is 6737904.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4097376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097371) 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, 11635 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (166257).

Almost surely, 2^4097376 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 4097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985252).

4097376 is an abundant number, since it is smaller than the sum of its proper divisors (7873128).

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

4097376 is a wasteful number, since it uses less digits than its factorization.

4097376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 4097376 is about 2024.1976188110. The cubic root of 4097376 is about 160.0179146607.

The spelling of 4097376 in words is "four million, ninety-seven thousand, three hundred seventy-six".