34453640100 has 144 divisors (see below), whose sum is σ = 109217384640. Its totient is φ = 8316364800.

The previous prime is 34453640083. The next prime is 34453640107. The reversal of 34453640100 is 104635443.

It is a super-2 number, since 2×34453640100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34453640107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746496 + ... + 791304.

It is an arithmetic number, because the mean of its divisors is an integer number (758454060).

Almost surely, 2^34453640100 is an apocalyptic number.

34453640100 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 34453640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54608692320).

34453640100 is an abundant number, since it is smaller than the sum of its proper divisors (74763744540).

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

34453640100 is a wasteful number, since it uses less digits than its factorization.

34453640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45070 (or 45063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 34453640100 in words is "thirty-four billion, four hundred fifty-three million, six hundred forty thousand, one hundred".