3750727680 has 1040 divisors, whose sum is σ = 17126398080. Its totient is φ = 764411904.

The previous prime is 3750727627. The next prime is 3750727693. The reversal of 3750727680 is 867270573.

3750727680 is a `hidden beast` number, since 375 + 0 + 7 + 276 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197406711 + ... + 197406729.

Almost surely, 2^3750727680 is an apocalyptic number.

3750727680 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 3750727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563199040).

3750727680 is an abundant number, since it is smaller than the sum of its proper divisors (13375670400).

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

3750727680 is a wasteful number, since it uses less digits than its factorization.

3750727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 3750727680 is about 61243.1847636943. The cubic root of 3750727680 is about 1553.7167385198.

The spelling of 3750727680 in words is "three billion, seven hundred fifty million, seven hundred twenty-seven thousand, six hundred eighty".