34051585152 has 64 divisors (see below), whose sum is σ = 97407192960. Its totient is φ = 10477409280.

The previous prime is 34051585133. The next prime is 34051585153. The reversal of 34051585152 is 25158515043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34051585152.

It is not an unprimeable number, because it can be changed into a prime (34051585153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405624 + ... + 3415607.

It is an arithmetic number, because the mean of its divisors is an integer number (1521987390).

Almost surely, 2^34051585152 is an apocalyptic number.

34051585152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34051585152 is an abundant number, since it is smaller than the sum of its proper divisors (63355607808).

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

34051585152 is a wasteful number, since it uses less digits than its factorization.

34051585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821261 (or 6821249 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 34051585152 in words is "thirty-four billion, fifty-one million, five hundred eighty-five thousand, one hundred fifty-two".