34355311320 has 256 divisors, whose sum is σ = 118609920000. Its totient is φ = 7873113600.

The previous prime is 34355311283. The next prime is 34355311351. The reversal of 34355311320 is 2311355343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14319481 + ... + 14321879.

It is an arithmetic number, because the mean of its divisors is an integer number (463320000).

Almost surely, 2^34355311320 is an apocalyptic number.

34355311320 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 34355311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59304960000).

34355311320 is an abundant number, since it is smaller than the sum of its proper divisors (84254608680).

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

34355311320 is a wasteful number, since it uses less digits than its factorization.

34355311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 34355311320 its reverse (2311355343), we get a palindrome (36666666663).

The spelling of 34355311320 in words is "thirty-four billion, three hundred fifty-five million, three hundred eleven thousand, three hundred twenty".