34315675015020 has 192 divisors, whose sum is σ = 110380201451520. Its totient is φ = 7802915162112.

The previous prime is 34315675015001. The next prime is 34315675015057. The reversal of 34315675015020 is 2051057651343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133711944 + ... + 133968336.

It is an arithmetic number, because the mean of its divisors is an integer number (574896882560).

Almost surely, 2^{34315675015020} is an apocalyptic number.

34315675015020 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 34315675015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55190100725760).

34315675015020 is an abundant number, since it is smaller than the sum of its proper divisors (76064526436500).

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

34315675015020 is a wasteful number, since it uses less digits than its factorization.

34315675015020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258064 (or 258062 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 34315675015020 in words is "thirty-four trillion, three hundred fifteen billion, six hundred seventy-five million, fifteen thousand, twenty".