354038688 has 120 divisors (see below), whose sum is σ = 1049870052. Its totient is φ = 117033984.

The previous prime is 354038603. The next prime is 354038717. The reversal of 354038688 is 886830453.

It can be written as a sum of positive squares in 2 ways, for example, as 333135504 + 20903184 = 18252^2 + 4572^2 .

It is a super-2 number, since 2×354038688² = 250686785201522688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354606 + ... + 355602.

Almost surely, 2^354038688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354038688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524935026).

354038688 is an abundant number, since it is smaller than the sum of its proper divisors (695831364).

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

354038688 is a wasteful number, since it uses less digits than its factorization.

354038688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 354038688 is about 18815.9158161382. The cubic root of 354038688 is about 707.4301648743.

The spelling of 354038688 in words is "three hundred fifty-four million, thirty-eight thousand, six hundred eighty-eight".