3760233120 has 288 divisors, whose sum is σ = 14978815488. Its totient is φ = 841089024.

The previous prime is 3760233047. The next prime is 3760233121. The reversal of 3760233120 is 213320673.

3760233120 is a `hidden beast` number, since 3 + 7 + 602 + 3 + 31 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3760233121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469792 + ... + 477728.

It is an arithmetic number, because the mean of its divisors is an integer number (52009776).

Almost surely, 2^3760233120 is an apocalyptic number.

3760233120 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 3760233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489407744).

3760233120 is an abundant number, since it is smaller than the sum of its proper divisors (11218582368).

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

3760233120 is a wasteful number, since it uses less digits than its factorization.

3760233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012 (or 8001 counting only the distinct ones).

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

The square root of 3760233120 is about 61320.7397215657. The cubic root of 3760233120 is about 1555.0281553888.

Adding to 3760233120 its reverse (213320673), we get a palindrome (3973553793).

The spelling of 3760233120 in words is "three billion, seven hundred sixty million, two hundred thirty-three thousand, one hundred twenty".