34353145008 has 480 divisors, whose sum is σ = 127545169920. Its totient is φ = 8765729280.

The previous prime is 34353144989. The next prime is 34353145027. The reversal of 34353145008 is 80054135343.

It is an interprime number because it is at equal distance from previous prime (34353144989) and next prime (34353145027).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8528691 + ... + 8532717.

It is an arithmetic number, because the mean of its divisors is an integer number (265719104).

Almost surely, 2^34353145008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34353145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63772584960).

34353145008 is an abundant number, since it is smaller than the sum of its proper divisors (93192024912).

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

34353145008 is a wasteful number, since it uses less digits than its factorization.

34353145008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34353145008 in words is "thirty-four billion, three hundred fifty-three million, one hundred forty-five thousand, eight".