3785323200 has 168 divisors, whose sum is σ = 12820131840. Its totient is φ = 976819200.

The previous prime is 3785323189. The next prime is 3785323211. The reversal of 3785323200 is 23235873.

3785323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3785323189) and next prime (3785323211).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136081 + ... + 161519.

Almost surely, 2^3785323200 is an apocalyptic number.

3785323200 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 3785323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410065920).

3785323200 is an abundant number, since it is smaller than the sum of its proper divisors (9034808640).

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

3785323200 is a wasteful number, since it uses less digits than its factorization.

3785323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25495 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3785323200 is about 61524.9802925608. The cubic root of 3785323200 is about 1558.4791226112.

The spelling of 3785323200 in words is "three billion, seven hundred eighty-five million, three hundred twenty-three thousand, two hundred".