34212989952 has 220 divisors, whose sum is σ = 102522603040. Its totient is φ = 11364655104.

The previous prime is 34212989933. The next prime is 34212989963. The reversal of 34212989952 is 25998921243.

34212989952 is a `hidden beast` number, since 342 + 1 + 298 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32928249 + ... + 32929287.

It is an arithmetic number, because the mean of its divisors is an integer number (466011832).

Almost surely, 2^34212989952 is an apocalyptic number.

34212989952 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 34212989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51261301520).

34212989952 is an abundant number, since it is smaller than the sum of its proper divisors (68309613088).

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

34212989952 is a wasteful number, since it uses less digits than its factorization.

34212989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1441 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 34212989952 in words is "thirty-four billion, two hundred twelve million, nine hundred eighty-nine thousand, nine hundred fifty-two".