34609830528 has 1024 divisors, whose sum is σ = 129548160000. Its totient is φ = 8092385280.

The previous prime is 34609830517. The next prime is 34609830539. The reversal of 34609830528 is 82503890643.

It is an interprime number because it is at equal distance from previous prime (34609830517) and next prime (34609830539).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 844142188 + ... + 844142228.

It is an arithmetic number, because the mean of its divisors is an integer number (126511875).

Almost surely, 2^34609830528 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 34609830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080000).

34609830528 is an abundant number, since it is smaller than the sum of its proper divisors (94938329472).

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

34609830528 is a wasteful number, since it uses less digits than its factorization.

34609830528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 34609830528 in words is "thirty-four billion, six hundred nine million, eight hundred thirty thousand, five hundred twenty-eight".