3445334784000 has 1536 divisors, whose sum is σ = 13660526880000. Its totient is φ = 853593292800.

The previous prime is 3445334783963. The next prime is 3445334784179. The reversal of 3445334784000 is 4874335443.

3445334784000 is a `hidden beast` number, since 3 + 4 + 4 + 533 + 4 + 78 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12807935866 + ... + 12807936134.

Almost surely, 2^{3445334784000} is an apocalyptic number.

3445334784000 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 3445334784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830263440000).

3445334784000 is an abundant number, since it is smaller than the sum of its proper divisors (10215192096000).

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

3445334784000 is a wasteful number, since it uses less digits than its factorization.

3445334784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 3445334784000 in words is "three trillion, four hundred forty-five billion, three hundred thirty-four million, seven hundred eighty-four thousand".