34429334940 has 1152 divisors, whose sum is σ = 150580684800. Its totient is φ = 6131220480.

The previous prime is 34429334899. The next prime is 34429334941. The reversal of 34429334940 is 4943392443.

34429334940 is a `hidden beast` number, since 3 + 442 + 93 + 34 + 94 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429334941) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 304684324 + ... + 304684436.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^34429334940 is an apocalyptic number.

34429334940 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 34429334940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75290342400).

34429334940 is an abundant number, since it is smaller than the sum of its proper divisors (116151349860).

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

34429334940 is a wasteful number, since it uses less digits than its factorization.

34429334940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 34429334940 in words is "thirty-four billion, four hundred twenty-nine million, three hundred thirty-four thousand, nine hundred forty".