3676140 has 72 divisors (see below), whose sum is σ = 12016368. Its totient is φ = 904320.

The previous prime is 3676129. The next prime is 3676147. The reversal of 3676140 is 416763.

3676140 is nontrivially palindromic in base 14.

It is not an unprimeable number, because it can be changed into a prime (3676147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1555 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (166894).

Almost surely, 2^3676140 is an apocalyptic number.

3676140 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 3676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008184).

3676140 is an abundant number, since it is smaller than the sum of its proper divisors (8340228).

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

3676140 is a wasteful number, since it uses less digits than its factorization.

3676140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3676140 is about 1917.3262633157. The cubic root of 3676140 is about 154.3348535423.

It can be divided in two parts, 36 and 76140, that added together give a square (76176 = 276²).

The spelling of 3676140 in words is "three million, six hundred seventy-six thousand, one hundred forty".