3439712439072 has 288 divisors, whose sum is σ = 12364375226112. Its totient is φ = 882658363392.

The previous prime is 3439712439071. The next prime is 3439712439083. The reversal of 3439712439072 is 2709342179343.

3439712439072 is a `hidden beast` number, since 3 + 4 + 397 + 1 + 243 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3439712439071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 803908 + ... + 2743299.

It is an arithmetic number, because the mean of its divisors is an integer number (42931858424).

Almost surely, 2^{3439712439072} is an apocalyptic number.

3439712439072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3439712439072 is an abundant number, since it is smaller than the sum of its proper divisors (8924662787040).

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

3439712439072 is a wasteful number, since it uses less digits than its factorization.

3439712439072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547280 (or 3547269 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3439712439072 in words is "three trillion, four hundred thirty-nine billion, seven hundred twelve million, four hundred thirty-nine thousand, seventy-two".