34445745180 has 576 divisors, whose sum is σ = 135908720640. Its totient is φ = 7089223680.

The previous prime is 34445745161. The next prime is 34445745181. The reversal of 34445745180 is 8154754443.

34445745180 is a `hidden beast` number, since 34 + 44 + 57 + 451 + 80 = 666.

It is a super-2 number, since 2×34445745180² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445745181) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 58086964 + ... + 58087556.

It is an arithmetic number, because the mean of its divisors is an integer number (235952640).

Almost surely, 2^34445745180 is an apocalyptic number.

34445745180 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 34445745180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67954360320).

34445745180 is an abundant number, since it is smaller than the sum of its proper divisors (101462975460).

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

34445745180 is a wasteful number, since it uses less digits than its factorization.

34445745180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 34445745180 in words is "thirty-four billion, four hundred forty-five million, seven hundred forty-five thousand, one hundred eighty".