34899226560 has 1008 divisors, whose sum is σ = 143997261408. Its totient is φ = 7720796160.

The previous prime is 34899226559. The next prime is 34899226561. The reversal of 34899226560 is 6562299843.

It is a happy number.

34899226560 is a `hidden beast` number, since 3 + 489 + 92 + 26 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34899226559) and next prime (34899226561).

It is a junction number, because it is equal to n+sod(n) for n = 34899226497 and 34899226506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34899226561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254738812 + ... + 254738948.

It is an arithmetic number, because the mean of its divisors is an integer number (142854426).

Almost surely, 2^34899226560 is an apocalyptic number.

34899226560 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 34899226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71998630704).

34899226560 is an abundant number, since it is smaller than the sum of its proper divisors (109098034848).

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

34899226560 is a wasteful number, since it uses less digits than its factorization.

34899226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34899226560 in words is "thirty-four billion, eight hundred ninety-nine million, two hundred twenty-six thousand, five hundred sixty".