34212790423680 has 768 divisors, whose sum is σ = 125854299849600. Its totient is φ = 7888382853120.

The previous prime is 34212790423673. The next prime is 34212790423681. The reversal of 34212790423680 is 8632409721243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34212790423681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 451359864 + ... + 451435656.

Almost surely, 2^{34212790423680} is an apocalyptic number.

34212790423680 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 34212790423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62927149924800).

34212790423680 is an abundant number, since it is smaller than the sum of its proper divisors (91641509425920).

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

34212790423680 is a wasteful number, since it uses less digits than its factorization.

34212790423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75933 (or 75910 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 34212790423680 in words is "thirty-four trillion, two hundred twelve billion, seven hundred ninety million, four hundred twenty-three thousand, six hundred eighty".