352935005952 has 288 divisors, whose sum is σ = 994675677184. Its totient is φ = 110945894400.

The previous prime is 352935005947. The next prime is 352935005953. The reversal of 352935005952 is 259500539253.

It is a super-3 number, since 3×352935005952³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352935005953) 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, 154727052 + ... + 154729332.

Almost surely, 2^352935005952 is an apocalyptic number.

352935005952 is a gapful number since it is divisible by the number (32) 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 352935005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497337838592).

352935005952 is an abundant number, since it is smaller than the sum of its proper divisors (641740671232).

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

352935005952 is a wasteful number, since it uses less digits than its factorization.

352935005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 48.

The spelling of 352935005952 in words is "three hundred fifty-two billion, nine hundred thirty-five million, five thousand, nine hundred fifty-two".