3781641600 has 768 divisors, whose sum is σ = 15845414400. Its totient is φ = 871833600.

The previous prime is 3781641593. The next prime is 3781641607. The reversal of 3781641600 is 61461873.

3781641600 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 6 + 41 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3781641593) and next prime (3781641607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781641607) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21859114 + ... + 21859286.

It is an arithmetic number, because the mean of its divisors is an integer number (20632050).

Almost surely, 2^3781641600 is an apocalyptic number.

3781641600 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 3781641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922707200).

3781641600 is an abundant number, since it is smaller than the sum of its proper divisors (12063772800).

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

3781641600 is a wasteful number, since it uses less digits than its factorization.

3781641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3781641600 is about 61495.0534596076. The cubic root of 3781641600 is about 1557.9737005200.

The spelling of 3781641600 in words is "three billion, seven hundred eighty-one million, six hundred forty-one thousand, six hundred".