3730032000 has 192 divisors, whose sum is σ = 13395994560. Its totient is φ = 994636800.

The previous prime is 3730031989. The next prime is 3730032041. The reversal of 3730032000 is 2300373.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 131049 + ... + 156951.

It is an arithmetic number, because the mean of its divisors is an integer number (69770805).

Almost surely, 2^3730032000 is an apocalyptic number.

3730032000 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 3730032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697997280).

3730032000 is an abundant number, since it is smaller than the sum of its proper divisors (9665962560).

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

3730032000 is a wasteful number, since it uses less digits than its factorization.

3730032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 25913 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 18.

The square root of 3730032000 is about 61073.9879162971. The cubic root of 3730032000 is about 1550.8537786772.

Adding to 3730032000 its reverse (2300373), we get a palindrome (3732332373).

The spelling of 3730032000 in words is "three billion, seven hundred thirty million, thirty-two thousand".