34724072142 has 64 divisors (see below), whose sum is σ = 80600832000. Its totient is φ = 11067011424.

The previous prime is 34724072107. The next prime is 34724072147. The reversal of 34724072142 is 24127042743.

34724072142 is a `hidden beast` number, since 3 + 472 + 40 + 7 + 2 + 142 = 666.

34724072142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34724072142² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34724072097 and 34724072106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34724072147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53659 + ... + 268937.

It is an arithmetic number, because the mean of its divisors is an integer number (1259388000).

Almost surely, 2^34724072142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34724072142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40300416000).

34724072142 is an abundant number, since it is smaller than the sum of its proper divisors (45876759858).

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

34724072142 is a wasteful number, since it uses less digits than its factorization.

34724072142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215422 (or 215416 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 34724072142 in words is "thirty-four billion, seven hundred twenty-four million, seventy-two thousand, one hundred forty-two".