3764009088 has 480 divisors, whose sum is σ = 13507084800. Its totient is φ = 1036385280.

The previous prime is 3764009069. The next prime is 3764009089. The reversal of 3764009088 is 8809004673.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3764009089) 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 59 ways as a sum of consecutive naturals, for example, 15748873 + ... + 15749111.

It is an arithmetic number, because the mean of its divisors is an integer number (28139760).

Almost surely, 2^3764009088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3764009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753542400).

3764009088 is an abundant number, since it is smaller than the sum of its proper divisors (9743075712).

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

3764009088 is a wasteful number, since it uses less digits than its factorization.

3764009088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3764009088 is about 61351.5206657504. The cubic root of 3764009088 is about 1555.5484930050.

The spelling of 3764009088 in words is "three billion, seven hundred sixty-four million, nine thousand, eighty-eight".