3786353680 has 80 divisors (see below), whose sum is σ = 9133701120. Its totient is φ = 1458003456.

The previous prime is 3786353639. The next prime is 3786353723. The reversal of 3786353680 is 863536873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849217 + ... + 853663.

It is an arithmetic number, because the mean of its divisors is an integer number (114171264).

Almost surely, 2^3786353680 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 3786353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566850560).

3786353680 is an abundant number, since it is smaller than the sum of its proper divisors (5347347440).

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

3786353680 is a wasteful number, since it uses less digits than its factorization.

3786353680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The square root of 3786353680 is about 61533.3542072915. The cubic root of 3786353680 is about 1558.6205315716.

The spelling of 3786353680 in words is "three billion, seven hundred eighty-six million, three hundred fifty-three thousand, six hundred eighty".