3064427631720 has 576 divisors, whose sum is σ = 12473699172480. Its totient is φ = 638763300864.

The previous prime is 3064427631703. The next prime is 3064427631731. The reversal of 3064427631720 is 271367244603.

3064427631720 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 4 + 2 + 7 + 631 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35304694 + ... + 35391386.

It is an arithmetic number, because the mean of its divisors is an integer number (21655727730).

Almost surely, 2^{3064427631720} is an apocalyptic number.

3064427631720 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 3064427631720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236849586240).

3064427631720 is an abundant number, since it is smaller than the sum of its proper divisors (9409271540760).

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

3064427631720 is a wasteful number, since it uses less digits than its factorization.

3064427631720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86826 (or 86806 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3064427631720 in words is "three trillion, sixty-four billion, four hundred twenty-seven million, six hundred thirty-one thousand, seven hundred twenty".