3456368640000 has 660 divisors, whose sum is σ = 12519918957546. Its totient is φ = 918552576000.

The previous prime is 3456368639987. The next prime is 3456368640019. The reversal of 3456368640000 is 468636543.

3456368640000 is a `hidden beast` number, since 3 + 4 + 5 + 636 + 8 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 486288654336 + 2970079985664 = 697344^2 + 1723392^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11796479854 + ... + 11796480146.

Almost surely, 2^{3456368640000} is an apocalyptic number.

3456368640000 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 3456368640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259959478773).

3456368640000 is an abundant number, since it is smaller than the sum of its proper divisors (9063550317546).

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

3456368640000 is an frugal number, since it uses more digits than its factorization.

3456368640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 3456368640000 in words is "three trillion, four hundred fifty-six billion, three hundred sixty-eight million, six hundred forty thousand".