354106080 has 240 divisors, whose sum is σ = 1267857360. Its totient is φ = 93063168.

The previous prime is 354106079. The next prime is 354106111. The reversal of 354106080 is 80601453.

354106080 is a `hidden beast` number, since 3 + 54 + 1 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×354106080² = 250782231785932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1153287 + ... + 1153593.

It is an arithmetic number, because the mean of its divisors is an integer number (5282739).

Almost surely, 2^354106080 is an apocalyptic number.

354106080 is a gapful number since it is divisible by the number (30) 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 354106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633928680).

354106080 is an abundant number, since it is smaller than the sum of its proper divisors (913751280).

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

354106080 is a wasteful number, since it uses less digits than its factorization.

354106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 354106080 is about 18817.7065552633. The cubic root of 354106080 is about 707.4750489605.

The spelling of 354106080 in words is "three hundred fifty-four million, one hundred six thousand, eighty".