34011033000 has 512 divisors, whose sum is σ = 131204136960. Its totient is φ = 7157452800.

The previous prime is 34011032981. The next prime is 34011033073. The reversal of 34011033000 is 33011043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16777987 + ... + 16780013.

It is an arithmetic number, because the mean of its divisors is an integer number (256258080).

Almost surely, 2^34011033000 is an apocalyptic number.

34011033000 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 34011033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65602068480).

34011033000 is an abundant number, since it is smaller than the sum of its proper divisors (97193103960).

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

34011033000 is a wasteful number, since it uses less digits than its factorization.

34011033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 34011033000 its reverse (33011043), we get a palindrome (34044044043).

The spelling of 34011033000 in words is "thirty-four billion, eleven million, thirty-three thousand".