354414816 has 288 divisors, whose sum is σ = 1222760448. Its totient is φ = 95247360.

The previous prime is 354414803. The next prime is 354414839. The reversal of 354414816 is 618414453.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312235 + ... + 3312341.

It is an arithmetic number, because the mean of its divisors is an integer number (4245696).

Almost surely, 2^354414816 is an apocalyptic number.

354414816 is a gapful number since it is divisible by the number (36) 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 354414816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611380224).

354414816 is an abundant number, since it is smaller than the sum of its proper divisors (868345632).

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

354414816 is a wasteful number, since it uses less digits than its factorization.

354414816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 354414816 is about 18825.9081055868. The cubic root of 354414816 is about 707.6805990114.

The spelling of 354414816 in words is "three hundred fifty-four million, four hundred fourteen thousand, eight hundred sixteen".