354268440072 has 64 divisors (see below), whose sum is σ = 987437808000. Its totient is φ = 117686423232.

The previous prime is 354268440059. The next prime is 354268440073. The reversal of 354268440072 is 270044862453.

It is a happy number.

354268440072 is a `hidden beast` number, since 3 + 542 + 68 + 4 + 40 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×354268440072³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (354268440073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735572 + ... + 2862147.

It is an arithmetic number, because the mean of its divisors is an integer number (15428715750).

Almost surely, 2^354268440072 is an apocalyptic number.

It is an amenable number.

354268440072 is an abundant number, since it is smaller than the sum of its proper divisors (633169367928).

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

354268440072 is a wasteful number, since it uses less digits than its factorization.

354268440072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598027 (or 5598017 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 354268440072 in words is "three hundred fifty-four billion, two hundred sixty-eight million, four hundred forty thousand, seventy-two".