3780691200 has 1296 divisors, whose sum is σ = 17436758976. Its totient is φ = 796262400.

The previous prime is 3780691199. The next prime is 3780691207. The reversal of 3780691200 is 21960873.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780691207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222393592 + ... + 222393608.

Almost surely, 2^3780691200 is an apocalyptic number.

3780691200 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 3780691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718379488).

3780691200 is an abundant number, since it is smaller than the sum of its proper divisors (13656067776).

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

3780691200 is a wasteful number, since it uses less digits than its factorization.

3780691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3780691200 is about 61487.3255232328. The cubic root of 3780691200 is about 1557.8431732322.

The spelling of 3780691200 in words is "three billion, seven hundred eighty million, six hundred ninety-one thousand, two hundred".