352881023040 has 1008 divisors, whose sum is σ = 1552080321792. Its totient is φ = 74413707264.

The previous prime is 352881023023. The next prime is 352881023081. The reversal of 352881023040 is 40320188253.

It is a tau number, because it is divible by the number of its divisors (1008).

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 = 352881022986 and 352881023004.

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 143 ways as a sum of consecutive naturals, for example, 191055397 + ... + 191057243.

It is an arithmetic number, because the mean of its divisors is an integer number (1539762224).

Almost surely, 2^352881023040 is an apocalyptic number.

352881023040 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 352881023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776040160896).

352881023040 is an abundant number, since it is smaller than the sum of its proper divisors (1199199298752).

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

352881023040 is an equidigital number, since it uses as much as digits as its factorization.

352881023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 352881023040 in words is "three hundred fifty-two billion, eight hundred eighty-one million, twenty-three thousand, forty".