3750757920 has 1152 divisors, whose sum is σ = 17374694400. Its totient is φ = 747823104.

The previous prime is 3750757903. The next prime is 3750757939. The reversal of 3750757920 is 297570573.

It is a happy number.

3750757920 is a `hidden beast` number, since 3 + 7 + 50 + 7 + 579 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79803337 + ... + 79803383.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^3750757920 is an apocalyptic number.

3750757920 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 3750757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

3750757920 is an abundant number, since it is smaller than the sum of its proper divisors (13623936480).

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

3750757920 is a wasteful number, since it uses less digits than its factorization.

3750757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 3750757920 is about 61243.4316478102. The cubic root of 3750757920 is about 1553.7209140889.

The spelling of 3750757920 in words is "three billion, seven hundred fifty million, seven hundred fifty-seven thousand, nine hundred twenty".