34193229840 has 960 divisors, whose sum is σ = 151622295552. Its totient is φ = 6954854400.

The previous prime is 34193229827. The next prime is 34193229907. The reversal of 34193229840 is 4892239143.

34193229840 is a `hidden beast` number, since 3 + 419 + 3 + 229 + 8 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79334425 + ... + 79334855.

Almost surely, 2^34193229840 is an apocalyptic number.

34193229840 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 34193229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75811147776).

34193229840 is an abundant number, since it is smaller than the sum of its proper divisors (117429065712).

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

34193229840 is a wasteful number, since it uses less digits than its factorization.

34193229840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34193229840 in words is "thirty-four billion, one hundred ninety-three million, two hundred twenty-nine thousand, eight hundred forty".