34242204672 has 264 divisors, whose sum is σ = 106937900160. Its totient is φ = 10490757120.

The previous prime is 34242204671. The next prime is 34242204673. The reversal of 34242204672 is 27640224243.

34242204672 is a `hidden beast` number, since 3 + 424 + 220 + 4 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34242204671) and next prime (34242204673).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34242204671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37259829 + ... + 37260747.

Almost surely, 2^34242204672 is an apocalyptic number.

34242204672 is a gapful number since it is divisible by the number (32) 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 34242204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53468950080).

34242204672 is an abundant number, since it is smaller than the sum of its proper divisors (72695695488).

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

34242204672 is a wasteful number, since it uses less digits than its factorization.

34242204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 34242204672 in words is "thirty-four billion, two hundred forty-two million, two hundred four thousand, six hundred seventy-two".