3750756960 has 192 divisors, whose sum is σ = 12245022720. Its totient is φ = 964055040.

The previous prime is 3750756941. The next prime is 3750756979. The reversal of 3750756960 is 696570573.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3750756941) and next prime (3750756979).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6591556 + ... + 6592124.

It is an arithmetic number, because the mean of its divisors is an integer number (63776160).

Almost surely, 2^3750756960 is an apocalyptic number.

3750756960 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 3750756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122511360).

3750756960 is an abundant number, since it is smaller than the sum of its proper divisors (8494265760).

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

3750756960 is a wasteful number, since it uses less digits than its factorization.

3750756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 48.

The square root of 3750756960 is about 61243.4238102345. The cubic root of 3750756960 is about 1553.7207815315.

The spelling of 3750756960 in words is "three billion, seven hundred fifty million, seven hundred fifty-six thousand, nine hundred sixty".