34249969920 has 288 divisors, whose sum is σ = 113447101824. Its totient is φ = 8799846400.

The previous prime is 34249969903. The next prime is 34249969969. The reversal of 34249969920 is 2996994243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13066210 + ... + 13068830.

It is an arithmetic number, because the mean of its divisors is an integer number (393913548).

Almost surely, 2^34249969920 is an apocalyptic number.

34249969920 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 34249969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56723550912).

34249969920 is an abundant number, since it is smaller than the sum of its proper divisors (79197131904).

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

34249969920 is a wasteful number, since it uses less digits than its factorization.

34249969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 57.

The spelling of 34249969920 in words is "thirty-four billion, two hundred forty-nine million, nine hundred sixty-nine thousand, nine hundred twenty".