3219540480 has 320 divisors, whose sum is σ = 12319211520. Its totient is φ = 792281088.

The previous prime is 3219540469. The next prime is 3219540487. The reversal of 3219540480 is 840459123.

3219540480 is a `hidden beast` number, since 32 + 1 + 9 + 540 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3219540487) 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, 896769 + ... + 900351.

It is an arithmetic number, because the mean of its divisors is an integer number (38497536).

Almost surely, 2^3219540480 is an apocalyptic number.

3219540480 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 3219540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159605760).

3219540480 is an abundant number, since it is smaller than the sum of its proper divisors (9099671040).

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

3219540480 is a wasteful number, since it uses less digits than its factorization.

3219540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3219540480 is about 56740.9947040057. The cubic root of 3219540480 is about 1476.6060040495.

The spelling of 3219540480 in words is "three billion, two hundred nineteen million, five hundred forty thousand, four hundred eighty".