3750805440 has 280 divisors, whose sum is σ = 13706380512. Its totient is φ = 972933120.

The previous prime is 3750805411. The next prime is 3750805469. The reversal of 3750805440 is 445080573.

3750805440 is a `hidden beast` number, since 37 + 5 + 0 + 80 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3750805411) and next prime (3750805469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3750805395 and 3750805404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 957085 + ... + 960995.

Almost surely, 2^3750805440 is an apocalyptic number.

3750805440 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 3750805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853190256).

3750805440 is an abundant number, since it is smaller than the sum of its proper divisors (9955575072).

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

3750805440 is a wasteful number, since it uses less digits than its factorization.

3750805440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3750805440 is about 61243.8196065530. The cubic root of 3750805440 is about 1553.7274756521.

The spelling of 3750805440 in words is "three billion, seven hundred fifty million, eight hundred five thousand, four hundred forty".