3730330800 has 960 divisors, whose sum is σ = 16606080000. Its totient is φ = 792529920.

The previous prime is 3730330777. The next prime is 3730330817. The reversal of 3730330800 is 80330373.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70383574 + ... + 70383626.

It is an arithmetic number, because the mean of its divisors is an integer number (17298000).

Almost surely, 2^3730330800 is an apocalyptic number.

3730330800 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 3730330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040000).

3730330800 is an abundant number, since it is smaller than the sum of its proper divisors (12875749200).

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

3730330800 is a wasteful number, since it uses less digits than its factorization.

3730330800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3730330800 is about 61076.4340805846. The cubic root of 3730330800 is about 1550.8951887541.

The spelling of 3730330800 in words is "three billion, seven hundred thirty million, three hundred thirty thousand, eight hundred".