3787875456 has 64 divisors (see below), whose sum is σ = 10087294080. Its totient is φ = 1259394048.

The previous prime is 3787875439. The next prime is 3787875479. The reversal of 3787875456 is 6545787873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3787875456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140025 + ... + 164871.

It is an arithmetic number, because the mean of its divisors is an integer number (157613970).

Almost surely, 2^3787875456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3787875456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043647040).

3787875456 is an abundant number, since it is smaller than the sum of its proper divisors (6299418624).

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

3787875456 is a wasteful number, since it uses less digits than its factorization.

3787875456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25261 (or 25249 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 60.

The square root of 3787875456 is about 61545.7184213492. The cubic root of 3787875456 is about 1558.8293123520.

The spelling of 3787875456 in words is "three billion, seven hundred eighty-seven million, eight hundred seventy-five thousand, four hundred fifty-six".