34359381468 has 96 divisors (see below), whose sum is σ = 89583352320. Its totient is φ = 11388574080.

The previous prime is 34359381451. The next prime is 34359381487. The reversal of 34359381468 is 86418395343.

34359381468 is a `hidden beast` number, since 3 + 4 + 3 + 593 + 8 + 1 + 46 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26613903 + ... + 26615193.

It is an arithmetic number, because the mean of its divisors is an integer number (933159920).

Almost surely, 2^34359381468 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 34359381468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44791676160).

34359381468 is an abundant number, since it is smaller than the sum of its proper divisors (55223970852).

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

34359381468 is a wasteful number, since it uses less digits than its factorization.

34359381468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2496 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 34359381468 in words is "thirty-four billion, three hundred fifty-nine million, three hundred eighty-one thousand, four hundred sixty-eight".