3679421760 has 420 divisors, whose sum is σ = 15230479572. Its totient is φ = 840720384.

The previous prime is 3679421731. The next prime is 3679421771. The reversal of 3679421760 is 671249763.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 2854123776 = 28728^2 + 53424^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×3679421760² = 27076288975922995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1268632 + ... + 1271528.

Almost surely, 2^3679421760 is an apocalyptic number.

3679421760 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 3679421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615239786).

3679421760 is an abundant number, since it is smaller than the sum of its proper divisors (11551057812).

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

3679421760 is a wasteful number, since it uses less digits than its factorization.

3679421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3679421760 is about 60658.2373631150. The cubic root of 3679421760 is about 1543.8076576781.

The spelling of 3679421760 in words is "three billion, six hundred seventy-nine million, four hundred twenty-one thousand, seven hundred sixty".