354680352 has 144 divisors (see below), whose sum is σ = 1104726168. Its totient is φ = 107274240.

The previous prime is 354680351. The next prime is 354680357. The reversal of 354680352 is 253086453.

It is a happy number.

354680352 is a `hidden beast` number, since 3 + 546 + 80 + 35 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 287505936 = 8196^2 + 16956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (354680351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227608 + ... + 229160.

Almost surely, 2^354680352 is an apocalyptic number.

354680352 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 354680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552363084).

354680352 is an abundant number, since it is smaller than the sum of its proper divisors (750045816).

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

354680352 is a wasteful number, since it uses less digits than its factorization.

354680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 354680352 is about 18832.9591939238. The cubic root of 354680352 is about 707.8572919303.

The spelling of 354680352 in words is "three hundred fifty-four million, six hundred eighty thousand, three hundred fifty-two".