3877954560 has 264 divisors, whose sum is σ = 14025061440. Its totient is φ = 988889088.

The previous prime is 3877954529. The next prime is 3877954567. The reversal of 3877954560 is 654597783.

3877954560 is a `hidden beast` number, since 3 + 8 + 7 + 79 + 5 + 4 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3877954497 and 3877954506.

It is not an unprimeable number, because it can be changed into a prime (3877954567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058011 + ... + 1061669.

Almost surely, 2^3877954560 is an apocalyptic number.

3877954560 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 3877954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012530720).

3877954560 is an abundant number, since it is smaller than the sum of its proper divisors (10147106880).

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

3877954560 is a wasteful number, since it uses less digits than its factorization.

3877954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3877954560 is about 62273.2250650310. The cubic root of 3877954560 is about 1571.0894246774.

It can be divided in two parts, 38779 and 54560, that added together give a palindrome (93339).

The spelling of 3877954560 in words is "three billion, eight hundred seventy-seven million, nine hundred fifty-four thousand, five hundred sixty".