34029983520 has 192 divisors, whose sum is σ = 128267072640. Its totient is φ = 8376597504.

The previous prime is 34029983513. The next prime is 34029983521. The reversal of 34029983520 is 2538992043.

It is a happy number.

34029983520 is a `hidden beast` number, since 3 + 4 + 0 + 299 + 8 + 352 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (34029983521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246814 + ... + 359133.

It is an arithmetic number, because the mean of its divisors is an integer number (668057670).

Almost surely, 2^34029983520 is an apocalyptic number.

34029983520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34029983520 is an abundant number, since it is smaller than the sum of its proper divisors (94237089120).

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

34029983520 is a wasteful number, since it uses less digits than its factorization.

34029983520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605984 (or 605970 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 34029983520 in words is "thirty-four billion, twenty-nine million, nine hundred eighty-three thousand, five hundred twenty".