34968360960 has 1152 divisors, whose sum is σ = 144240445440. Its totient is φ = 8058175488.

The previous prime is 34968360941. The next prime is 34968360967. The reversal of 34968360960 is 6906386943.

It is a happy number.

34968360960 is a `hidden beast` number, since 3 + 496 + 8 + 3 + 60 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 34968360897 and 34968360906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34968360967) 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, 744007657 + ... + 744007703.

It is an arithmetic number, because the mean of its divisors is an integer number (125208720).

Almost surely, 2^34968360960 is an apocalyptic number.

34968360960 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 34968360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72120222720).

34968360960 is an abundant number, since it is smaller than the sum of its proper divisors (109272084480).

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

34968360960 is a wasteful number, since it uses less digits than its factorization.

34968360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 34968360960 in words is "thirty-four billion, nine hundred sixty-eight million, three hundred sixty thousand, nine hundred sixty".