3765735960 has 256 divisors, whose sum is σ = 13828838400. Its totient is φ = 800735232.

The previous prime is 3765735931. The next prime is 3765735971. The reversal of 3765735960 is 695375673.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269439 + ... + 1272401.

It is an arithmetic number, because the mean of its divisors is an integer number (54018900).

Almost surely, 2^3765735960 is an apocalyptic number.

3765735960 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 3765735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914419200).

3765735960 is an abundant number, since it is smaller than the sum of its proper divisors (10063102440).

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

3765735960 is a wasteful number, since it uses less digits than its factorization.

3765735960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 51.

The square root of 3765735960 is about 61365.5926395240. The cubic root of 3765735960 is about 1555.7863442232.

The spelling of 3765735960 in words is "three billion, seven hundred sixty-five million, seven hundred thirty-five thousand, nine hundred sixty".