352365552 has 360 divisors, whose sum is σ = 1296667008. Its totient is φ = 90668160.

The previous prime is 352365547. The next prime is 352365581. The reversal of 352365552 is 255563253.

It is a super-2 number, since 2×352365552² = 248322964472529408, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3293083 + ... + 3293189.

Almost surely, 2^352365552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352365552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

352365552 is an abundant number, since it is smaller than the sum of its proper divisors (944301456).

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

352365552 is a wasteful number, since it uses less digits than its factorization.

352365552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 352365552 is about 18771.4025048743. The cubic root of 352365552 is about 706.3140002878.

The spelling of 352365552 in words is "three hundred fifty-two million, three hundred sixty-five thousand, five hundred fifty-two".