34454520100 has 648 divisors, whose sum is σ = 106476310080. Its totient is φ = 9455846400.

The previous prime is 34454520097. The next prime is 34454520119. The reversal of 34454520100 is 102545443.

It is a super-2 number, since 2×34454520100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 415114659 + ... + 415114741.

Almost surely, 2^34454520100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53238155040).

34454520100 is an abundant number, since it is smaller than the sum of its proper divisors (72021789980).

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

34454520100 is a wasteful number, since it uses less digits than its factorization.

34454520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 34454520100 in words is "thirty-four billion, four hundred fifty-four million, five hundred twenty thousand, one hundred".