34784406720 has 560 divisors, whose sum is σ = 144454717440. Its totient is φ = 7779649536.

The previous prime is 34784406719. The next prime is 34784406749. The reversal of 34784406720 is 2760448743.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×34784406720³ (a number of 33 digits) contains 333 as substring.

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

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, 8525641 + ... + 8529719.

Almost surely, 2^34784406720 is an apocalyptic number.

34784406720 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 34784406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72227358720).

34784406720 is an abundant number, since it is smaller than the sum of its proper divisors (109670310720).

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

34784406720 is a wasteful number, since it uses less digits than its factorization.

34784406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 34784406720 in words is "thirty-four billion, seven hundred eighty-four million, four hundred six thousand, seven hundred twenty".