34404720466752 has 560 divisors, whose sum is σ = 110053384119360. Its totient is φ = 10593996521472.

The previous prime is 34404720466729. The next prime is 34404720466817. The reversal of 34404720466752 is 25766402740443.

34404720466752 is a `hidden beast` number, since 3 + 4 + 40 + 4 + 72 + 0 + 466 + 75 + 2 = 666.

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

It is a congruent number.

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, 850886728 + ... + 850927160.

Almost surely, 2^{34404720466752} is an apocalyptic number.

34404720466752 is a gapful number since it is divisible by the number (32) 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 34404720466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55026692059680).

34404720466752 is an abundant number, since it is smaller than the sum of its proper divisors (75648663652608).

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

34404720466752 is a wasteful number, since it uses less digits than its factorization.

34404720466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40692 (or 40673 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 34404720466752 in words is "thirty-four trillion, four hundred four billion, seven hundred twenty million, four hundred sixty-six thousand, seven hundred fifty-two".