34226892960 has 192 divisors, whose sum is σ = 116946426240. Its totient is φ = 8364257280.

The previous prime is 34226892943. The next prime is 34226892967. The reversal of 34226892960 is 6929862243.

It is not an unprimeable number, because it can be changed into a prime (34226892967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847630 + ... + 887090.

It is an arithmetic number, because the mean of its divisors is an integer number (609095970).

Almost surely, 2^34226892960 is an apocalyptic number.

34226892960 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 34226892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58473213120).

34226892960 is an abundant number, since it is smaller than the sum of its proper divisors (82719533280).

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

34226892960 is a wasteful number, since it uses less digits than its factorization.

34226892960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39631 (or 39623 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 34226892960 in words is "thirty-four billion, two hundred twenty-six million, eight hundred ninety-two thousand, nine hundred sixty".