354267540 has 384 divisors, whose sum is σ = 1312819200. Its totient is φ = 78382080.

The previous prime is 354267533. The next prime is 354267581. The reversal of 354267540 is 45762453.

354267540 is a `hidden beast` number, since 3 + 54 + 2 + 67 + 540 = 666.

It is a super-3 number, since 3×354267540³ (a number of 27 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 = 354267495 and 354267504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4852944 + ... + 4853016.

It is an arithmetic number, because the mean of its divisors is an integer number (3418800).

Almost surely, 2^354267540 is an apocalyptic number.

354267540 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 354267540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656409600).

354267540 is an abundant number, since it is smaller than the sum of its proper divisors (958551660).

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

354267540 is a wasteful number, since it uses less digits than its factorization.

354267540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 354267540 is about 18821.9961746888. The cubic root of 354267540 is about 707.5825605893.

The spelling of 354267540 in words is "three hundred fifty-four million, two hundred sixty-seven thousand, five hundred forty".