34137021440 has 88 divisors (see below), whose sum is σ = 84530815872. Its totient is φ = 13214269440.

The previous prime is 34137021433. The next prime is 34137021467. The reversal of 34137021440 is 4412073143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51182 + ... + 266258.

Almost surely, 2^34137021440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34137021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42265407936).

34137021440 is an abundant number, since it is smaller than the sum of its proper divisors (50393794432).

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

34137021440 is a wasteful number, since it uses less digits than its factorization.

34137021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215133 (or 215115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 34137021440 its reverse (4412073143), we get a palindrome (38549094583).

The spelling of 34137021440 in words is "thirty-four billion, one hundred thirty-seven million, twenty-one thousand, four hundred forty".