34968571485120 has 1344 divisors, whose sum is σ = 150751292030976. Its totient is φ = 7243758305280.

The previous prime is 34968571485091. The next prime is 34968571485139. The reversal of 34968571485120 is 2158417586943.

It is a happy number.

34968571485120 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 8 + 5 + 71 + 48 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3228558105 + ... + 3228568935.

It is an arithmetic number, because the mean of its divisors is an integer number (112166139904).

It is a 1-persistent number, because it is pandigital, but 2⋅34968571485120 = 69937142970240 is not.

Almost surely, 2^{34968571485120} is an apocalyptic number.

34968571485120 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 34968571485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75375646015488).

34968571485120 is an abundant number, since it is smaller than the sum of its proper divisors (115782720545856).

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

34968571485120 is a wasteful number, since it uses less digits than its factorization.

34968571485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11098 (or 11085 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 34968571485120 in words is "thirty-four trillion, nine hundred sixty-eight billion, five hundred seventy-one million, four hundred eighty-five thousand, one hundred twenty".