3800684160 has 512 divisors, whose sum is σ = 16573939200. Its totient is φ = 801570816.

The previous prime is 3800684137. The next prime is 3800684177. The reversal of 3800684160 is 614860083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1571272 + ... + 1573688.

It is an arithmetic number, because the mean of its divisors is an integer number (32370975).

Almost surely, 2^3800684160 is an apocalyptic number.

3800684160 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 3800684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

3800684160 is an abundant number, since it is smaller than the sum of its proper divisors (12773255040).

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

3800684160 is a wasteful number, since it uses less digits than its factorization.

3800684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3800684160 is about 61649.6890503107. The cubic root of 3800684160 is about 1560.5843964347.

The spelling of 3800684160 in words is "three billion, eight hundred million, six hundred eighty-four thousand, one hundred sixty".