3456117739620 has 1728 divisors, whose sum is σ = 14121958556160. Its totient is φ = 665237422080.

The previous prime is 3456117739549. The next prime is 3456117739639. The reversal of 3456117739620 is 269377116543.

3456117739620 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 1 + 1 + 7 + 7 + 3 + 9 + 620 = 666.

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 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 575 ways as a sum of consecutive naturals, for example, 30585112684 + ... + 30585112796.

It is an arithmetic number, because the mean of its divisors is an integer number (8172429720).

Almost surely, 2^{3456117739620} is an apocalyptic number.

3456117739620 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 3456117739620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060979278080).

3456117739620 is an abundant number, since it is smaller than the sum of its proper divisors (10665840816540).

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

3456117739620 is a wasteful number, since it uses less digits than its factorization.

3456117739620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3456117739620 in words is "three trillion, four hundred fifty-six billion, one hundred seventeen million, seven hundred thirty-nine thousand, six hundred twenty".