354340005138 has 128 divisors (see below), whose sum is σ = 953167564800. Its totient is φ = 95252661504.

The previous prime is 354340005137. The next prime is 354340005139. The reversal of 354340005138 is 831500043453.

It is an interprime number because it is at equal distance from previous prime (354340005137) and next prime (354340005139).

It is a super-3 number, since 3×354340005138³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354340005137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23890881 + ... + 23905707.

It is an arithmetic number, because the mean of its divisors is an integer number (7446621600).

Almost surely, 2^354340005138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354340005138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476583782400).

354340005138 is an abundant number, since it is smaller than the sum of its proper divisors (598827559662).

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

354340005138 is a wasteful number, since it uses less digits than its factorization.

354340005138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18581 (or 18575 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 354340005138 in words is "three hundred fifty-four billion, three hundred forty million, five thousand, one hundred thirty-eight".