3676379616 has 768 divisors, whose sum is σ = 14631321600. Its totient is φ = 870414336.

The previous prime is 3676379587. The next prime is 3676379627. The reversal of 3676379616 is 6169736763.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34358635 + ... + 34358741.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^3676379616 is an apocalyptic number.

3676379616 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 3676379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

3676379616 is an abundant number, since it is smaller than the sum of its proper divisors (10954941984).

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

3676379616 is a wasteful number, since it uses less digits than its factorization.

3676379616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 3676379616 is about 60633.1560781723. The cubic root of 3676379616 is about 1543.3820672407.

The spelling of 3676379616 in words is "three billion, six hundred seventy-six million, three hundred seventy-nine thousand, six hundred sixteen".