3680741376 has 144 divisors (see below), whose sum is σ = 11449144980. Its totient is φ = 1132462080.

The previous prime is 3680741369. The next prime is 3680741381. The reversal of 3680741376 is 6731470863.

It can be written as a sum of positive squares in 2 ways, for example, as 3669451776 + 11289600 = 60576^2 + 3360^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231936 + ... + 247296.

Almost surely, 2^3680741376 is an apocalyptic number.

3680741376 is a gapful number since it is divisible by the number (36) 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 3680741376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724572490).

3680741376 is an abundant number, since it is smaller than the sum of its proper divisors (7768403604).

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

3680741376 is a wasteful number, since it uses less digits than its factorization.

3680741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402 (or 15379 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3680741376 is about 60669.1138554042. The cubic root of 3680741376 is about 1543.9921966191.

The spelling of 3680741376 in words is "three billion, six hundred eighty million, seven hundred forty-one thousand, three hundred seventy-six".