34202412000 has 240 divisors, whose sum is σ = 125535442032. Its totient is φ = 9120556800.

The previous prime is 34202411953. The next prime is 34202412001. The reversal of 34202412000 is 21420243.

34202412000 is a `hidden beast` number, since 3 + 420 + 2 + 41 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34202412001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 271219 + ... + 376781.

Almost surely, 2^34202412000 is an apocalyptic number.

34202412000 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 34202412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62767721016).

34202412000 is an abundant number, since it is smaller than the sum of its proper divisors (91333030032).

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

34202412000 is a wasteful number, since it uses less digits than its factorization.

34202412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105600 (or 105573 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34202412000 its reverse (21420243), we get a palindrome (34223832243).

The spelling of 34202412000 in words is "thirty-four billion, two hundred two million, four hundred twelve thousand".