34364060460 has 120 divisors (see below), whose sum is σ = 108191917680. Its totient is φ = 9130548096.

The previous prime is 34364060441. The next prime is 34364060483. The reversal of 34364060460 is 6406046343.

34364060460 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 40 + 604 + 6 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 410451 + ... + 487029.

It is an arithmetic number, because the mean of its divisors is an integer number (901599314).

Almost surely, 2^34364060460 is an apocalyptic number.

34364060460 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 34364060460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095958840).

34364060460 is an abundant number, since it is smaller than the sum of its proper divisors (73827857220).

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

34364060460 is a wasteful number, since it uses less digits than its factorization.

34364060460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76877 (or 76866 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34364060460 in words is "thirty-four billion, three hundred sixty-four million, sixty thousand, four hundred sixty".