3685784160 has 192 divisors, whose sum is σ = 12273811200. Its totient is φ = 927148032.

The previous prime is 3685784147. The next prime is 3685784177. The reversal of 3685784160 is 614875863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525511 + ... + 2526969.

It is an arithmetic number, because the mean of its divisors is an integer number (63926100).

Almost surely, 2^3685784160 is an apocalyptic number.

3685784160 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 3685784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136905600).

3685784160 is an abundant number, since it is smaller than the sum of its proper divisors (8588027040).

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

3685784160 is a wasteful number, since it uses less digits than its factorization.

3685784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3685784160 is about 60710.6593606098. The cubic root of 3685784160 is about 1544.6969881561.

The spelling of 3685784160 in words is "three billion, six hundred eighty-five million, seven hundred eighty-four thousand, one hundred sixty".