34579465440 has 192 divisors, whose sum is σ = 121349793600. Its totient is φ = 8218312704.

The previous prime is 34579465399. The next prime is 34579465441. The reversal of 34579465440 is 4456497543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34579465441) 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, 85416 + ... + 276504.

It is an arithmetic number, because the mean of its divisors is an integer number (632030175).

Almost surely, 2^34579465440 is an apocalyptic number.

34579465440 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 34579465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60674896800).

34579465440 is an abundant number, since it is smaller than the sum of its proper divisors (86770328160).

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

34579465440 is a wasteful number, since it uses less digits than its factorization.

34579465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191149 (or 191141 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 34579465440 in words is "thirty-four billion, five hundred seventy-nine million, four hundred sixty-five thousand, four hundred forty".