3796480 has 40 divisors (see below), whose sum is σ = 9108792. Its totient is φ = 1517568.

The previous prime is 3796469. The next prime is 3796487. The reversal of 3796480 is 846973.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3796487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1819 + ... + 3301.

Almost surely, 2^3796480 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 3796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554396).

3796480 is an abundant number, since it is smaller than the sum of its proper divisors (5312312).

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

3796480 is an equidigital number, since it uses as much as digits as its factorization.

3796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3796480 is about 1948.4557988315. The cubic root of 3796480 is about 156.0008766113. Note that the first 3 decimals are identical.

It can be divided in two parts, 379 and 6480, that added together give a cube (6859 = 19³).

The spelling of 3796480 in words is "three million, seven hundred ninety-six thousand, four hundred eighty".