3706380768 has 96 divisors (see below), whose sum is σ = 10309904640. Its totient is φ = 1162598400.

The previous prime is 3706380763. The next prime is 3706380779. The reversal of 3706380768 is 8670836073.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3706380763) by changing a digit.

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, 268696 + ... + 282152.

It is an arithmetic number, because the mean of its divisors is an integer number (107394840).

Almost surely, 2^3706380768 is an apocalyptic number.

3706380768 is a gapful number since it is divisible by the number (38) 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 3706380768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154952320).

3706380768 is an abundant number, since it is smaller than the sum of its proper divisors (6603523872).

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

3706380768 is a wasteful number, since it uses less digits than its factorization.

3706380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 13632 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3706380768 is about 60880.0522995833. The cubic root of 3706380768 is about 1547.5689630445.

The spelling of 3706380768 in words is "three billion, seven hundred six million, three hundred eighty thousand, seven hundred sixty-eight".