34981752960 has 1024 divisors, whose sum is σ = 157361356800. Its totient is φ = 7133184000.

The previous prime is 34981752959. The next prime is 34981752979. The reversal of 34981752960 is 6925718943.

34981752960 is a `hidden beast` number, since 3 + 49 + 8 + 17 + 529 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34981752897 and 34981752906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81163945 + ... + 81164375.

It is an arithmetic number, because the mean of its divisors is an integer number (153673200).

It is a 1-persistent number, because it is pandigital, but 2⋅34981752960 = 69963505920 is not.

Almost surely, 2^34981752960 is an apocalyptic number.

34981752960 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 34981752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78680678400).

34981752960 is an abundant number, since it is smaller than the sum of its proper divisors (122379603840).

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

34981752960 is a wasteful number, since it uses less digits than its factorization.

34981752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 34981752960 in words is "thirty-four billion, nine hundred eighty-one million, seven hundred fifty-two thousand, nine hundred sixty".