34334004150 has 72 divisors (see below), whose sum is σ = 97098997320. Its totient is φ = 8673851520.

The previous prime is 34334004127. The next prime is 34334004157. The reversal of 34334004150 is 5140043343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34334004157) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1999287 + ... + 2016386.

It is an arithmetic number, because the mean of its divisors is an integer number (1348597185).

Almost surely, 2^34334004150 is an apocalyptic number.

34334004150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34334004150 is an abundant number, since it is smaller than the sum of its proper divisors (62764993170).

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

34334004150 is a wasteful number, since it uses less digits than its factorization.

34334004150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015710 (or 4015702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34334004150 its reverse (5140043343), we get a palindrome (39474047493).

The spelling of 34334004150 in words is "thirty-four billion, three hundred thirty-four million, four thousand, one hundred fifty".