34058511872 has 160 divisors (see below), whose sum is σ = 88533333504. Its totient is φ = 12692275200.

The previous prime is 34058511871. The next prime is 34058511887. The reversal of 34058511872 is 27811585043.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34058511871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887972 + ... + 925532.

Almost surely, 2^34058511872 is an apocalyptic number.

34058511872 is a gapful number since it is divisible by the number (32) 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 34058511872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44266666752).

34058511872 is an abundant number, since it is smaller than the sum of its proper divisors (54474821632).

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

34058511872 is a wasteful number, since it uses less digits than its factorization.

34058511872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37620 (or 37604 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The spelling of 34058511872 in words is "thirty-four billion, fifty-eight million, five hundred eleven thousand, eight hundred seventy-two".