3781879200 has 432 divisors, whose sum is σ = 15044662080. Its totient is φ = 916185600.

The previous prime is 3781879181. The next prime is 3781879229. The reversal of 3781879200 is 29781873.

3781879200 is a `hidden beast` number, since 378 + 1 + 8 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3781879200² = 28605220566785280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2612877 + ... + 2614323.

Almost surely, 2^3781879200 is an apocalyptic number.

3781879200 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 3781879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522331040).

3781879200 is an abundant number, since it is smaller than the sum of its proper divisors (11262782880).

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

3781879200 is a wasteful number, since it uses less digits than its factorization.

3781879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3781879200 is about 61496.9852919637. The cubic root of 3781879200 is about 1558.0063289248.

The spelling of 3781879200 in words is "three billion, seven hundred eighty-one million, eight hundred seventy-nine thousand, two hundred".