351861408 has 240 divisors, whose sum is σ = 1112348160. Its totient is φ = 108864000.

The previous prime is 351861407. The next prime is 351861409. The reversal of 351861408 is 804168153.

351861408 is a `hidden beast` number, since 35 + 1 + 8 + 614 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (351861407) and next prime (351861409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351861401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2330133 + ... + 2330283.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^351861408 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 351861408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

351861408 is an abundant number, since it is smaller than the sum of its proper divisors (760486752).

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

351861408 is a wasteful number, since it uses less digits than its factorization.

351861408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 351861408 is about 18757.9691864551. The cubic root of 351861408 is about 705.9769886060.

The spelling of 351861408 in words is "three hundred fifty-one million, eight hundred sixty-one thousand, four hundred eight".