351666000 has 240 divisors, whose sum is σ = 1404219648. Its totient is φ = 80352000.

The previous prime is 351665987. The next prime is 351666001. The reversal of 351666000 is 666153.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351666001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124605 + ... + 127395.

Almost surely, 2^351666000 is an apocalyptic number.

351666000 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 351666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702109824).

351666000 is an abundant number, since it is smaller than the sum of its proper divisors (1052553648).

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

351666000 is a wasteful number, since it uses less digits than its factorization.

351666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 351666000 is about 18752.7597968939. The cubic root of 351666000 is about 705.8462751169.

The spelling of 351666000 in words is "three hundred fifty-one million, six hundred sixty-six thousand".