34200420480 has 256 divisors, whose sum is σ = 128252678400. Its totient is φ = 8583561216.

The previous prime is 34200420431. The next prime is 34200420533. The reversal of 34200420480 is 8402400243.

It is a happy number.

34200420480 is a `hidden beast` number, since 34 + 200 + 420 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×34200420480² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235549 + ... + 351971.

It is an arithmetic number, because the mean of its divisors is an integer number (500987025).

Almost surely, 2^34200420480 is an apocalyptic number.

34200420480 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 34200420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64126339200).

34200420480 is an abundant number, since it is smaller than the sum of its proper divisors (94052257920).

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

34200420480 is a wasteful number, since it uses less digits than its factorization.

34200420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116468 (or 116450 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 34200420480 in words is "thirty-four billion, two hundred million, four hundred twenty thousand, four hundred eighty".