3684925440 has 768 divisors, whose sum is σ = 16137338400. Its totient is φ = 792723456.

The previous prime is 3684925399. The next prime is 3684925451. The reversal of 3684925440 is 445294863.

3684925440 is a `hidden beast` number, since 3 + 68 + 49 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216760312 + ... + 216760328.

Almost surely, 2^3684925440 is an apocalyptic number.

3684925440 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 3684925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068669200).

3684925440 is an abundant number, since it is smaller than the sum of its proper divisors (12452412960).

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

3684925440 is an equidigital number, since it uses as much as digits as its factorization.

3684925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3684925440 is about 60703.5867144603. The cubic root of 3684925440 is about 1544.5770168314.

The spelling of 3684925440 in words is "three billion, six hundred eighty-four million, nine hundred twenty-five thousand, four hundred forty".