34645950720000 has 480 divisors, whose sum is σ = 128246084366400. Its totient is φ = 9238910976000.

The previous prime is 34645950719987. The next prime is 34645950720061. The reversal of 34645950720000 is 2705954643.

34645950720000 is a `hidden beast` number, since 34 + 6 + 4 + 595 + 0 + 7 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34058757 + ... + 35061243.

It is an arithmetic number, because the mean of its divisors is an integer number (267179342430).

Almost surely, 2^{34645950720000} is an apocalyptic number.

34645950720000 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 34645950720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64123042183200).

34645950720000 is an abundant number, since it is smaller than the sum of its proper divisors (93600133646400).

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

34645950720000 is an equidigital number, since it uses as much as digits as its factorization.

34645950720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002538 (or 1002497 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34645950720000 in words is "thirty-four trillion, six hundred forty-five billion, nine hundred fifty million, seven hundred twenty thousand".