34465616640 has 1080 divisors, whose sum is σ = 153160828128. Its totient is φ = 7245987840.

The previous prime is 34465616623. The next prime is 34465616651. The reversal of 34465616640 is 4661656443.

34465616640 is a `hidden beast` number, since 3 + 4 + 46 + 561 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 122653300 + ... + 122653580.

Almost surely, 2^34465616640 is an apocalyptic number.

34465616640 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 34465616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76580414064).

34465616640 is an abundant number, since it is smaller than the sum of its proper divisors (118695211488).

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

34465616640 is a wasteful number, since it uses less digits than its factorization.

34465616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34465616640 in words is "thirty-four billion, four hundred sixty-five million, six hundred sixteen thousand, six hundred forty".