34652795100 has 648 divisors, whose sum is σ = 132060547584. Its totient is φ = 6937056000.

The previous prime is 34652795057. The next prime is 34652795113. The reversal of 34652795100 is 159725643.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 155393589 + ... + 155393811.

Almost surely, 2^34652795100 is an apocalyptic number.

34652795100 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 34652795100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66030273792).

34652795100 is an abundant number, since it is smaller than the sum of its proper divisors (97407752484).

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

34652795100 is a wasteful number, since it uses less digits than its factorization.

34652795100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 34652795100 in words is "thirty-four billion, six hundred fifty-two million, seven hundred ninety-five thousand, one hundred".