34906828320 has 864 divisors, whose sum is σ = 152399729664. Its totient is φ = 7116595200.

The previous prime is 34906828241. The next prime is 34906828321. The reversal of 34906828320 is 2382860943.

34906828320 is a `hidden beast` number, since 3 + 490 + 6 + 82 + 83 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906828321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52808790 + ... + 52809450.

It is an arithmetic number, because the mean of its divisors is an integer number (176388576).

Almost surely, 2^34906828320 is an apocalyptic number.

34906828320 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 34906828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76199864832).

34906828320 is an abundant number, since it is smaller than the sum of its proper divisors (117492901344).

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

34906828320 is a wasteful number, since it uses less digits than its factorization.

34906828320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34906828320 in words is "thirty-four billion, nine hundred six million, eight hundred twenty-eight thousand, three hundred twenty".