3579520896 has 640 divisors, whose sum is σ = 13206927360. Its totient is φ = 940584960.

The previous prime is 3579520823. The next prime is 3579520957. The reversal of 3579520896 is 6980259753.

3579520896 is a `hidden beast` number, since 35 + 7 + 9 + 520 + 89 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83244651 + ... + 83244693.

It is an arithmetic number, because the mean of its divisors is an integer number (20635824).

Almost surely, 2^3579520896 is an apocalyptic number.

3579520896 is a gapful number since it is divisible by the number (36) 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 3579520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603463680).

3579520896 is an abundant number, since it is smaller than the sum of its proper divisors (9627406464).

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

3579520896 is a wasteful number, since it uses less digits than its factorization.

3579520896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3579520896 is about 59829.0974025181. The cubic root of 3579520896 is about 1529.7071642559.

The spelling of 3579520896 in words is "three billion, five hundred seventy-nine million, five hundred twenty thousand, eight hundred ninety-six".