34016416560 has 800 divisors, whose sum is σ = 147679690752. Its totient is φ = 7076782080.

The previous prime is 34016416537. The next prime is 34016416561. The reversal of 34016416560 is 6561461043.

It is a happy number.

34016416560 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 641 + 6 + 5 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34016416561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23904009 + ... + 23905431.

Almost surely, 2^34016416560 is an apocalyptic number.

34016416560 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 34016416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73839845376).

34016416560 is an abundant number, since it is smaller than the sum of its proper divisors (113663274192).

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

34016416560 is a wasteful number, since it uses less digits than its factorization.

34016416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34016416560 in words is "thirty-four billion, sixteen million, four hundred sixteen thousand, five hundred sixty".