3579079680 has 528 divisors, whose sum is σ = 14163012864. Its totient is φ = 827228160.

The previous prime is 3579079643. The next prime is 3579079687. The reversal of 3579079680 is 869709753.

3579079680 is a `hidden beast` number, since 3 + 579 + 0 + 7 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×3579079680² = 25619622711577804800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3579079687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11658087 + ... + 11658393.

It is an arithmetic number, because the mean of its divisors is an integer number (26823888).

Almost surely, 2^3579079680 is an apocalyptic number.

3579079680 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 3579079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081506432).

3579079680 is an abundant number, since it is smaller than the sum of its proper divisors (10583933184).

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

3579079680 is a wasteful number, since it uses less digits than its factorization.

3579079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 3579079680 is about 59825.4099860586. The cubic root of 3579079680 is about 1529.6443104990.

The spelling of 3579079680 in words is "three billion, five hundred seventy-nine million, seventy-nine thousand, six hundred eighty".