3679140816 has 180 divisors, whose sum is σ = 11806624908. Its totient is φ = 1065332736.

The previous prime is 3679140757. The next prime is 3679140827. The reversal of 3679140816 is 6180419763.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 687488400 + 2991652416 = 26220^2 + 54696^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409266 + ... + 418158.

Almost surely, 2^3679140816 is an apocalyptic number.

3679140816 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 3679140816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5903312454).

3679140816 is an abundant number, since it is smaller than the sum of its proper divisors (8127484092).

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

3679140816 is a wasteful number, since it uses less digits than its factorization.

3679140816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8950 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3679140816 is about 60655.9215246129. The cubic root of 3679140816 is about 1543.7683639551.

The spelling of 3679140816 in words is "three billion, six hundred seventy-nine million, one hundred forty thousand, eight hundred sixteen".