3774427200 has 336 divisors, whose sum is σ = 14101389120. Its totient is φ = 981504000.

The previous prime is 3774427187. The next prime is 3774427201. The reversal of 3774427200 is 27244773.

3774427200 is a `hidden beast` number, since 3 + 7 + 7 + 442 + 7 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3774427201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770135 + ... + 1772265.

It is an arithmetic number, because the mean of its divisors is an integer number (41968420).

Almost surely, 2^3774427200 is an apocalyptic number.

3774427200 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 3774427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050694560).

3774427200 is an abundant number, since it is smaller than the sum of its proper divisors (10326961920).

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

3774427200 is a wasteful number, since it uses less digits than its factorization.

3774427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 3774427200 is about 61436.3670800935. The cubic root of 3774427200 is about 1556.9823320599.

The spelling of 3774427200 in words is "three billion, seven hundred seventy-four million, four hundred twenty-seven thousand, two hundred".