3434556432384 has 1764 divisors, whose sum is σ = 13303507706622. Its totient is φ = 882895749120.

The previous prime is 3434556432371. The next prime is 3434556432401. The reversal of 3434556432384 is 4832346554343.

3434556432384 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 556 + 4 + 3 + 2 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2991958953984 + 442597478400 = 1729728^2 + 665280^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

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

Its product of digits (49766400) is a multiple of the sum of its prime divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 3434556432384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 35407798224 + ... + 35407798320.

Almost surely, 2^{3434556432384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434556432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651753853311).

3434556432384 is an abundant number, since it is smaller than the sum of its proper divisors (9868951274238).

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

3434556432384 is an frugal number, since it uses more digits than its factorization.

3434556432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 120 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 3434556432384 in words is "three trillion, four hundred thirty-four billion, five hundred fifty-six million, four hundred thirty-two thousand, three hundred eighty-four".