350401632 has 96 divisors (see below), whose sum is σ = 1054271232. Its totient is φ = 99823104.

The previous prime is 350401627. The next prime is 350401643. The reversal of 350401632 is 236104053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350958 + ... + 351954.

It is an arithmetic number, because the mean of its divisors is an integer number (10981992).

Almost surely, 2^350401632 is an apocalyptic number.

350401632 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 350401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527135616).

350401632 is an abundant number, since it is smaller than the sum of its proper divisors (703869600).

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

350401632 is a wasteful number, since it uses less digits than its factorization.

350401632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 350401632 is about 18719.0179229574. The cubic root of 350401632 is about 704.9993340369. Note that the first 3 decimals are identical.

Adding to 350401632 its reverse (236104053), we get a palindrome (586505685).

The spelling of 350401632 in words is "three hundred fifty million, four hundred one thousand, six hundred thirty-two".