354985632 has 96 divisors (see below), whose sum is σ = 1043280000. Its totient is φ = 117425664.

The previous prime is 354985621. The next prime is 354985637. The reversal of 354985632 is 236589453.

354985632 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 8 + 5 + 632 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (354985637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116869 + ... + 119867.

It is an arithmetic number, because the mean of its divisors is an integer number (10867500).

Almost surely, 2^354985632 is an apocalyptic number.

354985632 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 354985632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521640000).

354985632 is an abundant number, since it is smaller than the sum of its proper divisors (688294368).

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

354985632 is a wasteful number, since it uses less digits than its factorization.

354985632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3141 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 354985632 is about 18841.0623904280. The cubic root of 354985632 is about 708.0603223524.

The spelling of 354985632 in words is "three hundred fifty-four million, nine hundred eighty-five thousand, six hundred thirty-two".