3976320 has 128 divisors (see below), whose sum is σ = 13464000. Its totient is φ = 995328.

The previous prime is 3976319. The next prime is 3976327. The reversal of 3976320 is 236793.

It is a happy number.

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

It is a super-2 number, since 2×3976320² = 31622241484800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976327) 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, 36426 + ... + 36534.

Almost surely, 2^3976320 is an apocalyptic number.

3976320 is a gapful number since it is divisible by the number (30) 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 3976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732000).

3976320 is an abundant number, since it is smaller than the sum of its proper divisors (9487680).

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

3976320 is a wasteful number, since it uses less digits than its factorization.

3976320 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3976320 is about 1994.0712123693. The cubic root of 3976320 is about 158.4262378738.

The spelling of 3976320 in words is "three million, nine hundred seventy-six thousand, three hundred twenty".