34003961952 has 288 divisors, whose sum is σ = 100597956480. Its totient is φ = 10027008000.

The previous prime is 34003961899. The next prime is 34003962029. The reversal of 34003961952 is 25916930043.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 132311008 + ... + 132311264.

It is an arithmetic number, because the mean of its divisors is an integer number (349298460).

Almost surely, 2^34003961952 is an apocalyptic number.

34003961952 is a gapful number since it is divisible by the number (32) 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 34003961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50298978240).

34003961952 is an abundant number, since it is smaller than the sum of its proper divisors (66593994528).

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

34003961952 is a wasteful number, since it uses less digits than its factorization.

34003961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 34003961952 in words is "thirty-four billion, three million, nine hundred sixty-one thousand, nine hundred fifty-two".