34232652000 has 288 divisors, whose sum is σ = 124828572960. Its totient is φ = 9112492800.

The previous prime is 34232651993. The next prime is 34232652001. The reversal of 34232652000 is 25623243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34232652000 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 652 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34232652001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60803719 + ... + 60804281.

It is an arithmetic number, because the mean of its divisors is an integer number (433432545).

Almost surely, 2^34232652000 is an apocalyptic number.

34232652000 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 34232652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62414286480).

34232652000 is an abundant number, since it is smaller than the sum of its proper divisors (90595920960).

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

34232652000 is an frugal number, since it uses more digits than its factorization.

34232652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34232652000 in words is "thirty-four billion, two hundred thirty-two million, six hundred fifty-two thousand".