3329679360 has 448 divisors, whose sum is σ = 12582144000. Its totient is φ = 751435776.

The previous prime is 3329679323. The next prime is 3329679361. The reversal of 3329679360 is 639769233.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3329679360² = 22173529280820019200, which contains 22 as substring.

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 (3329679361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42147801 + ... + 42147879.

Almost surely, 2^3329679360 is an apocalyptic number.

3329679360 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 3329679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291072000).

3329679360 is an abundant number, since it is smaller than the sum of its proper divisors (9252464640).

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

3329679360 is an frugal number, since it uses more digits than its factorization.

3329679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 48.

The square root of 3329679360 is about 57703.3739048247. The cubic root of 3329679360 is about 1493.2555515043.

The spelling of 3329679360 in words is "three billion, three hundred twenty-nine million, six hundred seventy-nine thousand, three hundred sixty".