352628640 has 720 divisors, whose sum is σ = 1607050368. Its totient is φ = 71165952.

The previous prime is 352628629. The next prime is 352628707. The reversal of 352628640 is 46826253.

352628640 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 352628595 and 352628604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15331669 + ... + 15331691.

Almost surely, 2^352628640 is an apocalyptic number.

352628640 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 352628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803525184).

352628640 is an abundant number, since it is smaller than the sum of its proper divisors (1254421728).

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

352628640 is a wasteful number, since it uses less digits than its factorization.

352628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

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

The square root of 352628640 is about 18778.4088782836. The cubic root of 352628640 is about 706.4897425046.

The spelling of 352628640 in words is "three hundred fifty-two million, six hundred twenty-eight thousand, six hundred forty".