3785443200 has 768 divisors, whose sum is σ = 17302464000. Its totient is φ = 785203200.

The previous prime is 3785443187. The next prime is 3785443217. The reversal of 3785443200 is 23445873.

It is a happy number.

3785443200 is a `hidden beast` number, since 3 + 7 + 8 + 5 + 443 + 200 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6652516 + ... + 6653084.

It is an arithmetic number, because the mean of its divisors is an integer number (22529250).

Almost surely, 2^3785443200 is an apocalyptic number.

3785443200 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 3785443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651232000).

3785443200 is an abundant number, since it is smaller than the sum of its proper divisors (13517020800).

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

3785443200 is a wasteful number, since it uses less digits than its factorization.

3785443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3785443200 is about 61525.9554984724. The cubic root of 3785443200 is about 1558.4955910877.

It can be divided in two parts, 3785 and 443200, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 3785443200 in words is "three billion, seven hundred eighty-five million, four hundred forty-three thousand, two hundred".