3679171680 has 96 divisors (see below), whose sum is σ = 11678059008. Its totient is φ = 973606400.

The previous prime is 3679171669. The next prime is 3679171687. The reversal of 3679171680 is 861719763.

It is a happy number.

3679171680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (3679171687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33625 + ... + 92135.

It is an arithmetic number, because the mean of its divisors is an integer number (121646448).

Almost surely, 2^3679171680 is an apocalyptic number.

3679171680 is a gapful number since it is divisible by the number (30) 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 3679171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839029504).

3679171680 is an abundant number, since it is smaller than the sum of its proper divisors (7998887328).

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

3679171680 is a wasteful number, since it uses less digits than its factorization.

3679171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58660 (or 58652 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 3679171680 is about 60656.1759427678. The cubic root of 3679171680 is about 1543.7726807903.

The spelling of 3679171680 in words is "three billion, six hundred seventy-nine million, one hundred seventy-one thousand, six hundred eighty".