351387960 has 256 divisors, whose sum is σ = 1392215040. Its totient is φ = 68689920.

The previous prime is 351387937. The next prime is 351387961. The reversal of 351387960 is 69783153.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351387961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 155962 + ... + 158198.

It is an arithmetic number, because the mean of its divisors is an integer number (5438340).

Almost surely, 2^351387960 is an apocalyptic number.

351387960 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 351387960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696107520).

351387960 is an abundant number, since it is smaller than the sum of its proper divisors (1040827080).

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

351387960 is a wasteful number, since it uses less digits than its factorization.

351387960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 351387960 is about 18745.3450221648. The cubic root of 351387960 is about 705.6602034439.

The spelling of 351387960 in words is "three hundred fifty-one million, three hundred eighty-seven thousand, nine hundred sixty".