34443101409990 has 64 divisors (see below), whose sum is σ = 101739622634496. Its totient is φ = 7267115901312.

The previous prime is 34443101409979. The next prime is 34443101410021. The reversal of 34443101409990 is 9990410134443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6308257602 + ... + 6308263061.

It is an arithmetic number, because the mean of its divisors is an integer number (1589681603664).

Almost surely, 2^{34443101409990} is an apocalyptic number.

34443101409990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34443101409990 is an abundant number, since it is smaller than the sum of its proper divisors (67296521224506).

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

34443101409990 is a wasteful number, since it uses less digits than its factorization.

34443101409990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12616520693.

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 34443101409990 in words is "thirty-four trillion, four hundred forty-three billion, one hundred one million, four hundred nine thousand, nine hundred ninety".