352258323900 has 576 divisors, whose sum is σ = 1235908896768. Its totient is φ = 75731927040.

The previous prime is 352258323887. The next prime is 352258323913. The reversal of 352258323900 is 9323852253.

It is an interprime number because it is at equal distance from previous prime (352258323887) and next prime (352258323913).

It is a super-2 number, since 2×352258323900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1271690562 + ... + 1271690838.

It is an arithmetic number, because the mean of its divisors is an integer number (2145675168).

Almost surely, 2^352258323900 is an apocalyptic number.

352258323900 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 352258323900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617954448384).

352258323900 is an abundant number, since it is smaller than the sum of its proper divisors (883650572868).

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

352258323900 is a wasteful number, since it uses less digits than its factorization.

352258323900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 352258323900 in words is "three hundred fifty-two billion, two hundred fifty-eight million, three hundred twenty-three thousand, nine hundred".