352266840 has 128 divisors (see below), whose sum is σ = 1236096000. Its totient is φ = 88988544.

The previous prime is 352266769. The next prime is 352266847. The reversal of 352266840 is 48662253.

352266840 is a `hidden beast` number, since 352 + 266 + 8 + 40 = 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 = 352266795 and 352266804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352266847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11937 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (9657000).

Almost surely, 2^352266840 is an apocalyptic number.

352266840 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 352266840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618048000).

352266840 is an abundant number, since it is smaller than the sum of its proper divisors (883829160).

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

352266840 is a wasteful number, since it uses less digits than its factorization.

352266840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17206 (or 17196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 352266840 is about 18768.7730019839. The cubic root of 352266840 is about 706.2480383165.

The spelling of 352266840 in words is "three hundred fifty-two million, two hundred sixty-six thousand, eight hundred forty".