3439936389120 has 1920 divisors, whose sum is σ = 14975221524480. Its totient is φ = 654563082240.

The previous prime is 3439936389089. The next prime is 3439936389139. The reversal of 3439936389120 is 219836399343.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3439936389120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92971253742 + ... + 92971253778.

It is an arithmetic number, because the mean of its divisors is an integer number (7799594544).

Almost surely, 2^{3439936389120} is an apocalyptic number.

3439936389120 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 3439936389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487610762240).

3439936389120 is an abundant number, since it is smaller than the sum of its proper divisors (11535285135360).

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

3439936389120 is an equidigital number, since it uses as much as digits as its factorization.

3439936389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 60.

The spelling of 3439936389120 in words is "three trillion, four hundred thirty-nine billion, nine hundred thirty-six million, three hundred eighty-nine thousand, one hundred twenty".