34538751000 has 512 divisors, whose sum is σ = 135757440000. Its totient is φ = 8052825600.

The previous prime is 34538750999. The next prime is 34538751017. The reversal of 34538751000 is 15783543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6666411 + ... + 6671589.

It is an arithmetic number, because the mean of its divisors is an integer number (265151250).

Almost surely, 2^34538751000 is an apocalyptic number.

34538751000 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 34538751000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67878720000).

34538751000 is an abundant number, since it is smaller than the sum of its proper divisors (101218689000).

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

34538751000 is a wasteful number, since it uses less digits than its factorization.

34538751000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 34538751000 in words is "thirty-four billion, five hundred thirty-eight million, seven hundred fifty-one thousand".