34464006720 has 672 divisors, whose sum is σ = 141457680000. Its totient is φ = 7591034880.

The previous prime is 34464006701. The next prime is 34464006727. The reversal of 34464006720 is 2760046443.

34464006720 is a `hidden beast` number, since 3 + 4 + 4 + 640 + 0 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34464006727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27592656 + ... + 27593904.

It is an arithmetic number, because the mean of its divisors is an integer number (210502500).

Almost surely, 2^34464006720 is an apocalyptic number.

34464006720 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 34464006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70728840000).

34464006720 is an abundant number, since it is smaller than the sum of its proper divisors (106993673280).

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

34464006720 is a wasteful number, since it uses less digits than its factorization.

34464006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 34464006720 in words is "thirty-four billion, four hundred sixty-four million, six thousand, seven hundred twenty".