3787882560 has 1344 divisors, whose sum is σ = 18258739200. Its totient is φ = 696729600.

The previous prime is 3787882517. The next prime is 3787882603. The reversal of 3787882560 is 652887873.

3787882560 is a `hidden beast` number, since 3 + 7 + 8 + 78 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3787882517) and next prime (3787882603).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 3787882497 and 3787882506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122189745 + ... + 122189775.

Almost surely, 2^3787882560 is an apocalyptic number.

3787882560 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 3787882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129369600).

3787882560 is an abundant number, since it is smaller than the sum of its proper divisors (14470856640).

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

3787882560 is a wasteful number, since it uses less digits than its factorization.

3787882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3787882560 is about 61545.7761345163. The cubic root of 3787882560 is about 1558.8302868575.

The spelling of 3787882560 in words is "three billion, seven hundred eighty-seven million, eight hundred eighty-two thousand, five hundred sixty".