34957578720 has 144 divisors (see below), whose sum is σ = 116975296368. Its totient is φ = 8773632000.

The previous prime is 34957578713. The next prime is 34957578727. The reversal of 34957578720 is 2787575943.

It is an interprime number because it is at equal distance from previous prime (34957578713) and next prime (34957578727).

It is a super-4 number, since 4×34957578720⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34957578727) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12720 + ... + 264720.

It is an arithmetic number, because the mean of its divisors is an integer number (812328447).

Almost surely, 2^34957578720 is an apocalyptic number.

34957578720 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 34957578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58487648184).

34957578720 is an abundant number, since it is smaller than the sum of its proper divisors (82017717648).

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

34957578720 is a wasteful number, since it uses less digits than its factorization.

34957578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252053 (or 252028 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 34957578720 in words is "thirty-four billion, nine hundred fifty-seven million, five hundred seventy-eight thousand, seven hundred twenty".