34004001042 has 60 divisors (see below), whose sum is σ = 83750643438. Its totient is φ = 10304236800.

The previous prime is 34004001013. The next prime is 34004001049. The reversal of 34004001042 is 24010040043.

It can be written as a sum of positive squares in only one way, i.e., 28025773281 + 5978227761 = 167409^2 + 77319^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34004001049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 847759 + ... + 886962.

Almost surely, 2^34004001042 is an apocalyptic number.

34004001042 is an abundant number, since it is smaller than the sum of its proper divisors (49746642396).

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

34004001042 is a wasteful number, since it uses less digits than its factorization.

34004001042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734757 (or 1734737 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34004001042 its reverse (24010040043), we get a palindrome (58014041085).

The spelling of 34004001042 in words is "thirty-four billion, four million, one thousand, forty-two".