34202012421330 has 224 divisors, whose sum is σ = 102090046013424. Its totient is φ = 8191416688128.

The previous prime is 34202012421329. The next prime is 34202012421331. The reversal of 34202012421330 is 3312421020243.

34202012421330 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 201 + 2 + 421 + 3 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (34202012421329) and next prime (34202012421331).

It can be written as a sum of positive squares in 8 ways, for example, as 15318981118809 + 18883031302521 = 3913947^2 + 4345461^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34202012421294 and 34202012421303.

It is not an unprimeable number, because it can be changed into a prime (34202012421331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1370469 + ... + 8383448.

Almost surely, 2^{34202012421330} is an apocalyptic number.

34202012421330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34202012421330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51045023006712).

34202012421330 is an abundant number, since it is smaller than the sum of its proper divisors (67888033592094).

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

34202012421330 is a wasteful number, since it uses less digits than its factorization.

34202012421330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9753992 (or 9753977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34202012421330 its reverse (3312421020243), we get a palindrome (37514433441573).

The spelling of 34202012421330 in words is "thirty-four trillion, two hundred two billion, twelve million, four hundred twenty-one thousand, three hundred thirty".