34558550640 has 960 divisors, whose sum is σ = 138141158400. Its totient is φ = 7913816064.

The previous prime is 34558550633. The next prime is 34558550641. The reversal of 34558550640 is 4605585543.

34558550640 is a `hidden beast` number, since 3 + 4 + 5 + 58 + 550 + 6 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (34558550641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416368039 + ... + 416368121.

It is an arithmetic number, because the mean of its divisors is an integer number (143897040).

Almost surely, 2^34558550640 is an apocalyptic number.

34558550640 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 34558550640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69070579200).

34558550640 is an abundant number, since it is smaller than the sum of its proper divisors (103582607760).

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

34558550640 is a wasteful number, since it uses less digits than its factorization.

34558550640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 34558550640 in words is "thirty-four billion, five hundred fifty-eight million, five hundred fifty thousand, six hundred forty".