34485665760 has 1296 divisors, whose sum is σ = 158735487456. Its totient is φ = 6893144064.

The previous prime is 34485665749. The next prime is 34485665771. The reversal of 34485665760 is 6756658443.

34485665760 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 5 + 66 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34485665749) and next prime (34485665771).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×34485665760² (a number of 22 digits) contains 22 as substring.

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 = 34485665697 and 34485665706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1815035031 + ... + 1815035049.

It is an arithmetic number, because the mean of its divisors is an integer number (122481086).

Almost surely, 2^34485665760 is an apocalyptic number.

34485665760 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 34485665760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79367743728).

34485665760 is an abundant number, since it is smaller than the sum of its proper divisors (124249821696).

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

34485665760 is an equidigital number, since it uses as much as digits as its factorization.

34485665760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 34485665760 in words is "thirty-four billion, four hundred eighty-five million, six hundred sixty-five thousand, seven hundred sixty".