3786562560 has 352 divisors, whose sum is σ = 13436704512. Its totient is φ = 902430720.

The previous prime is 3786562543. The next prime is 3786562579. The reversal of 3786562560 is 652656873.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12333927 + ... + 12334233.

It is an arithmetic number, because the mean of its divisors is an integer number (38172456).

Almost surely, 2^3786562560 is an apocalyptic number.

3786562560 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 3786562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718352256).

3786562560 is an abundant number, since it is smaller than the sum of its proper divisors (9650141952).

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

3786562560 is a wasteful number, since it uses less digits than its factorization.

3786562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The square root of 3786562560 is about 61535.0514747489. The cubic root of 3786562560 is about 1558.6491922742.

The spelling of 3786562560 in words is "three billion, seven hundred eighty-six million, five hundred sixty-two thousand, five hundred sixty".