3439228584960 has 880 divisors, whose sum is σ = 14181170572800. Its totient is φ = 780735283200.

The previous prime is 3439228584947. The next prime is 3439228584997. The reversal of 3439228584960 is 694858229343.

It is a happy number.

3439228584960 is a `hidden beast` number, since 3 + 4 + 3 + 92 + 2 + 8 + 58 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 432548985 + ... + 432556935.

It is an arithmetic number, because the mean of its divisors is an integer number (16114966560).

Almost surely, 2^{3439228584960} is an apocalyptic number.

3439228584960 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 3439228584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090585286400).

3439228584960 is an abundant number, since it is smaller than the sum of its proper divisors (10741941987840).

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

3439228584960 is a wasteful number, since it uses less digits than its factorization.

3439228584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3439228584960 in words is "three trillion, four hundred thirty-nine billion, two hundred twenty-eight million, five hundred eighty-four thousand, nine hundred sixty".