354416529672 has 160 divisors (see below), whose sum is σ = 1001782425600. Its totient is φ = 117059717376.

The previous prime is 354416529667. The next prime is 354416529673. The reversal of 354416529672 is 276925614453.

It is a happy number.

354416529672 is a `hidden beast` number, since 3 + 5 + 4 + 41 + 6 + 529 + 6 + 72 = 666.

It is a super-2 number, since 2×354416529672² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (354416529673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78425829 + ... + 78430347.

It is an arithmetic number, because the mean of its divisors is an integer number (6261140160).

Almost surely, 2^354416529672 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 354416529672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500891212800).

354416529672 is an abundant number, since it is smaller than the sum of its proper divisors (647365895928).

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

354416529672 is a wasteful number, since it uses less digits than its factorization.

354416529672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5604 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 354416529672 in words is "three hundred fifty-four billion, four hundred sixteen million, five hundred twenty-nine thousand, six hundred seventy-two".