3788121600 has 480 divisors, whose sum is σ = 14171905440. Its totient is φ = 990904320.

The previous prime is 3788121587. The next prime is 3788121691. The reversal of 3788121600 is 61218873.

3788121600 is a `hidden beast` number, since 37 + 8 + 8 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33523144 + ... + 33523256.

It is an arithmetic number, because the mean of its divisors is an integer number (29524803).

Almost surely, 2^3788121600 is an apocalyptic number.

3788121600 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 3788121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085952720).

3788121600 is an abundant number, since it is smaller than the sum of its proper divisors (10383783840).

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

3788121600 is a wasteful number, since it uses less digits than its factorization.

3788121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3788121600 is about 61547.7180730529. The cubic root of 3788121600 is about 1558.8630769408.

The spelling of 3788121600 in words is "three billion, seven hundred eighty-eight million, one hundred twenty-one thousand, six hundred".