34165634426040 has 256 divisors, whose sum is σ = 113347446549120. Its totient is φ = 8186851491840.

The previous prime is 34165634426017. The next prime is 34165634426069. The reversal of 34165634426040 is 4062443656143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7379832 + ... + 11081208.

Almost surely, 2^{34165634426040} is an apocalyptic number.

34165634426040 is a gapful number since it is divisible by the number (30) 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 34165634426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56673723274560).

34165634426040 is an abundant number, since it is smaller than the sum of its proper divisors (79181812123080).

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

34165634426040 is a wasteful number, since it uses less digits than its factorization.

34165634426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701562 (or 3701558 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

The spelling of 34165634426040 in words is "thirty-four trillion, one hundred sixty-five billion, six hundred thirty-four million, four hundred twenty-six thousand, forty".