34932906450 has 480 divisors, whose sum is σ = 114337681920. Its totient is φ = 7825766400.

The previous prime is 34932906409. The next prime is 34932906487. The reversal of 34932906450 is 5460923943.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34932906396 and 34932906405.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27745921 + ... + 27747179.

It is an arithmetic number, because the mean of its divisors is an integer number (238203504).

Almost surely, 2^34932906450 is an apocalyptic number.

34932906450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34932906450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57168840960).

34932906450 is an abundant number, since it is smaller than the sum of its proper divisors (79404775470).

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

34932906450 is a wasteful number, since it uses less digits than its factorization.

34932906450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 34932906450 in words is "thirty-four billion, nine hundred thirty-two million, nine hundred six thousand, four hundred fifty".