3783049200 has 720 divisors, whose sum is σ = 16061400576. Its totient is φ = 805939200.

The previous prime is 3783049189. The next prime is 3783049243. The reversal of 3783049200 is 29403873.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3783049200² = 28622922499241280000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 35355547 + ... + 35355653.

Almost surely, 2^3783049200 is an apocalyptic number.

3783049200 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 3783049200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030700288).

3783049200 is an abundant number, since it is smaller than the sum of its proper divisors (12278351376).

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

3783049200 is a wasteful number, since it uses less digits than its factorization.

3783049200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3783049200 is about 61506.4972177737. The cubic root of 3783049200 is about 1558.1669791695.

The spelling of 3783049200 in words is "three billion, seven hundred eighty-three million, forty-nine thousand, two hundred".