3679690672 has 60 divisors (see below), whose sum is σ = 8354163960. Its totient is φ = 1565453568.

The previous prime is 3679690667. The next prime is 3679690697. The reversal of 3679690672 is 2760969763.

It is a super-3 number, since 3×3679690672³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90279 + ... + 124537.

It is an arithmetic number, because the mean of its divisors is an integer number (139236066).

Almost surely, 2^3679690672 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 3679690672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177081980).

3679690672 is an abundant number, since it is smaller than the sum of its proper divisors (4674473288).

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

3679690672 is a wasteful number, since it uses less digits than its factorization.

3679690672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34418 (or 34405 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The square root of 3679690672 is about 60660.4539382949. The cubic root of 3679690672 is about 1543.8452666938.

The spelling of 3679690672 in words is "three billion, six hundred seventy-nine million, six hundred ninety thousand, six hundred seventy-two".