3686954040 has 288 divisors, whose sum is σ = 15206920560. Its totient is φ = 766080000.

The previous prime is 3686954003. The next prime is 3686954041. The reversal of 3686954040 is 404596863.

3686954040 is a `hidden beast` number, since 3 + 6 + 8 + 69 + 540 + 40 = 666.

3686954040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686954041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184540 + ... + 203540.

Almost surely, 2^3686954040 is an apocalyptic number.

3686954040 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 3686954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603460280).

3686954040 is an abundant number, since it is smaller than the sum of its proper divisors (11519966520).

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

3686954040 is a wasteful number, since it uses less digits than its factorization.

3686954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19043 (or 19029 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3686954040 is about 60720.2934775516. The cubic root of 3686954040 is about 1544.8604015008.

It can be divided in two parts, 36869 and 54040, that added together give a palindrome (90909).

The spelling of 3686954040 in words is "three billion, six hundred eighty-six million, nine hundred fifty-four thousand, forty".