354224325240 has 96 divisors (see below), whose sum is σ = 1152401346720. Its totient is φ = 94363632384.

The previous prime is 354224325239. The next prime is 354224325269. The reversal of 354224325240 is 42523422453.

354224325240 is a `hidden beast` number, since 3 + 542 + 24 + 3 + 2 + 52 + 40 = 666.

It is a super-3 number, since 3×354224325240³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 354224325195 and 354224325204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146607 + ... + 854366.

It is an arithmetic number, because the mean of its divisors is an integer number (12004180695).

Almost surely, 2^354224325240 is an apocalyptic number.

354224325240 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 354224325240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576200673360).

354224325240 is an abundant number, since it is smaller than the sum of its proper divisors (798177021480).

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

354224325240 is a wasteful number, since it uses less digits than its factorization.

354224325240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001973 (or 1001966 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 354224325240 its reverse (42523422453), we get a palindrome (396747747693).

The spelling of 354224325240 in words is "three hundred fifty-four billion, two hundred twenty-four million, three hundred twenty-five thousand, two hundred forty".