352290493632 has 896 divisors, whose sum is σ = 1318374604800. Its totient is φ = 80198553600.

The previous prime is 352290493571. The next prime is 352290493661. The reversal of 352290493632 is 236394092253.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200277969 + ... + 200279727.

Almost surely, 2^352290493632 is an apocalyptic number.

352290493632 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 352290493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659187302400).

352290493632 is an abundant number, since it is smaller than the sum of its proper divisors (966084111168).

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

352290493632 is a wasteful number, since it uses less digits than its factorization.

352290493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 352290493632 in words is "three hundred fifty-two billion, two hundred ninety million, four hundred ninety-three thousand, six hundred thirty-two".