3787258560 has 112 divisors (see below), whose sum is σ = 12317955552. Its totient is φ = 985292800.

The previous prime is 3787258547. The next prime is 3787258613. The reversal of 3787258560 is 658527873.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8751 + ... + 87470.

It is an arithmetic number, because the mean of its divisors is an integer number (109981746).

Almost surely, 2^3787258560 is an apocalyptic number.

3787258560 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 3787258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158977776).

3787258560 is an abundant number, since it is smaller than the sum of its proper divisors (8530696992).

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

3787258560 is a wasteful number, since it uses less digits than its factorization.

3787258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96282 (or 96272 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 3787258560 is about 61540.7065282809. The cubic root of 3787258560 is about 1558.7446837533.

The spelling of 3787258560 in words is "three billion, seven hundred eighty-seven million, two hundred fifty-eight thousand, five hundred sixty".