3796880 has 40 divisors (see below), whose sum is σ = 9118464. Its totient is φ = 1468800.

The previous prime is 3796879. The next prime is 3796907. The reversal of 3796880 is 886973.

3796880 = T₇₀₄ + T₇₀₅ + ... + T₇₁₈.

3796880 is nontrivially palindromic in base 15.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715 + ... + 3245.

Almost surely, 2^3796880 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 3796880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559232).

3796880 is an abundant number, since it is smaller than the sum of its proper divisors (5321584).

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

3796880 is a wasteful number, since it uses less digits than its factorization.

3796880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 3796880 is about 1948.5584415152. The cubic root of 3796880 is about 156.0063552090.

The spelling of 3796880 in words is "three million, seven hundred ninety-six thousand, eight hundred eighty".