34857888000 has 1152 divisors, whose sum is σ = 138851241984. Its totient is φ = 7667712000.

The previous prime is 34857887941. The next prime is 34857888001. The reversal of 34857888000 is 88875843.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (34857888001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657695974 + ... + 657696026.

It is an arithmetic number, because the mean of its divisors is an integer number (120530592).

Almost surely, 2^34857888000 is an apocalyptic number.

34857888000 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 34857888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69425620992).

34857888000 is an abundant number, since it is smaller than the sum of its proper divisors (103993353984).

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

34857888000 is a wasteful number, since it uses less digits than its factorization.

34857888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 34857888000 in words is "thirty-four billion, eight hundred fifty-seven million, eight hundred eighty-eight thousand".