34010130420 has 192 divisors, whose sum is σ = 122456678400. Its totient is φ = 7675274880.

The previous prime is 34010130409. The next prime is 34010130421. The reversal of 34010130420 is 2403101043.

34010130420 is a `hidden beast` number, since 340 + 1 + 0 + 1 + 304 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34010130393 and 34010130402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010130421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241675 + ... + 355565.

It is an arithmetic number, because the mean of its divisors is an integer number (637795200).

Almost surely, 2^34010130420 is an apocalyptic number.

34010130420 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 34010130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61228339200).

34010130420 is an abundant number, since it is smaller than the sum of its proper divisors (88446547980).

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

34010130420 is a wasteful number, since it uses less digits than its factorization.

34010130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113995 (or 113987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34010130420 its reverse (2403101043), we get a palindrome (36413231463).

The spelling of 34010130420 in words is "thirty-four billion, ten million, one hundred thirty thousand, four hundred twenty".