352386540 has 432 divisors, whose sum is σ = 1348008480. Its totient is φ = 73543680.

The previous prime is 352386539. The next prime is 352386577. The reversal of 352386540 is 45683253.

It is a happy number.

352386540 is a `hidden beast` number, since 3 + 523 + 86 + 54 + 0 = 666.

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 = 352386495 and 352386504.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12151246 + ... + 12151274.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^352386540 is an apocalyptic number.

352386540 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 352386540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674004240).

352386540 is an abundant number, since it is smaller than the sum of its proper divisors (995621940).

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

352386540 is a wasteful number, since it uses less digits than its factorization.

352386540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

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

The square root of 352386540 is about 18771.9615384221. The cubic root of 352386540 is about 706.3280234368.

The spelling of 352386540 in words is "three hundred fifty-two million, three hundred eighty-six thousand, five hundred forty".