354786432 has 384 divisors, whose sum is σ = 1290193920. Its totient is φ = 83865600.

The previous prime is 354786391. The next prime is 354786461. The reversal of 354786432 is 234687453.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4996957 + ... + 4997027.

It is an arithmetic number, because the mean of its divisors is an integer number (3359880).

Almost surely, 2^354786432 is an apocalyptic number.

354786432 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 354786432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645096960).

354786432 is an abundant number, since it is smaller than the sum of its proper divisors (935407488).

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

354786432 is a wasteful number, since it uses less digits than its factorization.

354786432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 354786432 is about 18835.7753225080. The cubic root of 354786432 is about 707.9278550126.

The spelling of 354786432 in words is "three hundred fifty-four million, seven hundred eighty-six thousand, four hundred thirty-two".