34485379758720 has 896 divisors, whose sum is σ = 139193178554880. Its totient is φ = 8090374348800.

The previous prime is 34485379758707. The next prime is 34485379758799. The reversal of 34485379758720 is 2785797358443.

34485379758720 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 5 + 37 + 9 + 7 + 587 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 158988582 + ... + 159205338.

Almost surely, 2^{34485379758720} is an apocalyptic number.

34485379758720 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 34485379758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69596589277440).

34485379758720 is an abundant number, since it is smaller than the sum of its proper divisors (104707798796160).

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

34485379758720 is a wasteful number, since it uses less digits than its factorization.

34485379758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216836 (or 216809 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 34485379758720 in words is "thirty-four trillion, four hundred eighty-five billion, three hundred seventy-nine million, seven hundred fifty-eight thousand, seven hundred twenty".