34235253872820 has 1440 divisors, whose sum is σ = 148836966905088. Its totient is φ = 6406304256000.

The previous prime is 34235253872773. The next prime is 34235253872927. The reversal of 34235253872820 is 2827835253243.

34235253872820 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 525 + 38 + 7 + 2 + 82 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 731327215 + ... + 731374025.

Almost surely, 2^{34235253872820} is an apocalyptic number.

34235253872820 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 34235253872820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74418483452544).

34235253872820 is an abundant number, since it is smaller than the sum of its proper divisors (114601713032268).

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

34235253872820 is a wasteful number, since it uses less digits than its factorization.

34235253872820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46915 (or 46893 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 34235253872820 in words is "thirty-four trillion, two hundred thirty-five billion, two hundred fifty-three million, eight hundred seventy-two thousand, eight hundred twenty".