3750027840 has 560 divisors, whose sum is σ = 14870338560. Its totient is φ = 890818560.

The previous prime is 3750027833. The next prime is 3750027851. The reversal of 3750027840 is 487200573.

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 = 3750027795 and 3750027804.

It is a congruent number.

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, 10445581 + ... + 10445939.

It is an arithmetic number, because the mean of its divisors is an integer number (26554176).

Almost surely, 2^3750027840 is an apocalyptic number.

3750027840 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 3750027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435169280).

3750027840 is an abundant number, since it is smaller than the sum of its proper divisors (11120310720).

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

3750027840 is a wasteful number, since it uses less digits than its factorization.

3750027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 3750027840 is about 61237.4708818057. The cubic root of 3750027840 is about 1553.6200976498.

The spelling of 3750027840 in words is "three billion, seven hundred fifty million, twenty-seven thousand, eight hundred forty".