34642071972 has 18 divisors (see below), whose sum is σ = 87567459798. Its totient is φ = 11547357312.

The previous prime is 34642071953. The next prime is 34642071979. The reversal of 34642071972 is 27917024643.

34642071972 is a `hidden beast` number, since 34 + 6 + 420 + 7 + 197 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33480216576 + 1161855396 = 182976^2 + 34086^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (34642071979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 481139853 + ... + 481139924.

Almost surely, 2^34642071972 is an apocalyptic number.

It is an amenable number.

34642071972 is an abundant number, since it is smaller than the sum of its proper divisors (52925387826).

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

34642071972 is a wasteful number, since it uses less digits than its factorization.

34642071972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962279787 (or 962279782 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 34642071972 in words is "thirty-four billion, six hundred forty-two million, seventy-one thousand, nine hundred seventy-two".