351867240 has 160 divisors (see below), whose sum is σ = 1190407680. Its totient is φ = 93218688.

The previous prime is 351867211. The next prime is 351867259. The reversal of 351867240 is 42768153.

351867240 is a `hidden beast` number, since 351 + 8 + 67 + 240 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 351867195 and 351867204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722277 + ... + 722763.

It is an arithmetic number, because the mean of its divisors is an integer number (7440048).

Almost surely, 2^351867240 is an apocalyptic number.

351867240 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 351867240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595203840).

351867240 is an abundant number, since it is smaller than the sum of its proper divisors (838540440).

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

351867240 is a wasteful number, since it uses less digits than its factorization.

351867240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 351867240 is about 18758.1246397394. The cubic root of 351867240 is about 705.9808890385.

The spelling of 351867240 in words is "three hundred fifty-one million, eight hundred sixty-seven thousand, two hundred forty".