34577483520 has 144 divisors (see below), whose sum is σ = 110505507840. Its totient is φ = 9214513152.

The previous prime is 34577483503. The next prime is 34577483543. The reversal of 34577483520 is 2538477543.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34577483520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11084521 + ... + 11087639.

It is an arithmetic number, because the mean of its divisors is an integer number (767399360).

Almost surely, 2^34577483520 is an apocalyptic number.

34577483520 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 34577483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55252753920).

34577483520 is an abundant number, since it is smaller than the sum of its proper divisors (75928024320).

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

34577483520 is a wasteful number, since it uses less digits than its factorization.

34577483520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 34577483520 in words is "thirty-four billion, five hundred seventy-seven million, four hundred eighty-three thousand, five hundred twenty".