34535421120 has 224 divisors, whose sum is σ = 119239881408. Its totient is φ = 8433303552.

The previous prime is 34535421097. The next prime is 34535421121. The reversal of 34535421120 is 2112453543.

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 (34535421121) by changing a digit.

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, 575244 + ... + 632436.

Almost surely, 2^34535421120 is an apocalyptic number.

34535421120 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 34535421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59619940704).

34535421120 is an abundant number, since it is smaller than the sum of its proper divisors (84704460288).

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

34535421120 is a wasteful number, since it uses less digits than its factorization.

34535421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57267 (or 57257 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34535421120 its reverse (2112453543), we get a palindrome (36647874663).

The spelling of 34535421120 in words is "thirty-four billion, five hundred thirty-five million, four hundred twenty-one thousand, one hundred twenty".