3344116129920 has 320 divisors, whose sum is σ = 12011506170840. Its totient is φ = 886607216640.

The previous prime is 3344116129897. The next prime is 3344116129943. The reversal of 3344116129920 is 299216114433.

3344116129920 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 1 + 1 + 612 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (3344116129897) and next prime (3344116129943).

It can be written as a sum of positive squares in 4 ways, for example, as 3270397363776 + 73718766144 = 1808424^2 + 271512^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3344116129920² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8781880 + ... + 9154760.

Almost surely, 2^{3344116129920} is an apocalyptic number.

3344116129920 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 3344116129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005753085420).

3344116129920 is an abundant number, since it is smaller than the sum of its proper divisors (8667390040920).

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

3344116129920 is a wasteful number, since it uses less digits than its factorization.

3344116129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373085 (or 373064 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3344116129920 in words is "three trillion, three hundred forty-four billion, one hundred sixteen million, one hundred twenty-nine thousand, nine hundred twenty".