34549468032 has 256 divisors, whose sum is σ = 99517662720. Its totient is φ = 10591764480.

The previous prime is 34549468027. The next prime is 34549468049. The reversal of 34549468032 is 23086494543.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 26433523 + ... + 26434829.

It is an arithmetic number, because the mean of its divisors is an integer number (388740870).

Almost surely, 2^34549468032 is an apocalyptic number.

34549468032 is a gapful number since it is divisible by the number (32) 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 34549468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49758831360).

34549468032 is an abundant number, since it is smaller than the sum of its proper divisors (64968194688).

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

34549468032 is a wasteful number, since it uses less digits than its factorization.

34549468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 34549468032 in words is "thirty-four billion, five hundred forty-nine million, four hundred sixty-eight thousand, thirty-two".