3730728960 has 288 divisors, whose sum is σ = 14779739520. Its totient is φ = 852590592.

The previous prime is 3730728941. The next prime is 3730728973. The reversal of 3730728960 is 698270373.

It is a happy number.

3730728960 is a `hidden beast` number, since 3 + 7 + 307 + 289 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 642229 + ... + 648011.

It is an arithmetic number, because the mean of its divisors is an integer number (51318540).

Almost surely, 2^3730728960 is an apocalyptic number.

3730728960 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 3730728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389869760).

3730728960 is an abundant number, since it is smaller than the sum of its proper divisors (11049010560).

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

3730728960 is a wasteful number, since it uses less digits than its factorization.

3730728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5823 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3730728960 is about 61079.6935159305. The cubic root of 3730728960 is about 1550.9503654925.

The spelling of 3730728960 in words is "three billion, seven hundred thirty million, seven hundred twenty-eight thousand, nine hundred sixty".