3456206926920 has 320 divisors, whose sum is σ = 12685401368640. Its totient is φ = 837032486400.

The previous prime is 3456206926883. The next prime is 3456206926943. The reversal of 3456206926920 is 296296026543.

3456206926920 is a `hidden beast` number, since 3 + 4 + 5 + 620 + 6 + 9 + 2 + 6 + 9 + 2 + 0 = 666.

3456206926920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36055455 + ... + 36151185.

It is an arithmetic number, because the mean of its divisors is an integer number (39641879277).

Almost surely, 2^{3456206926920} is an apocalyptic number.

3456206926920 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 3456206926920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342700684320).

3456206926920 is an abundant number, since it is smaller than the sum of its proper divisors (9229194441720).

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

3456206926920 is a wasteful number, since it uses less digits than its factorization.

3456206926920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96778 (or 96765 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3456206926920 in words is "three trillion, four hundred fifty-six billion, two hundred six million, nine hundred twenty-six thousand, nine hundred twenty".