351611820 has 192 divisors, whose sum is σ = 1259919360. Its totient is φ = 79743744.

The previous prime is 351611797. The next prime is 351611831. The reversal of 351611820 is 28116153.

351611820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630982 + ... + 631538.

It is an arithmetic number, because the mean of its divisors is an integer number (6562080).

Almost surely, 2^351611820 is an apocalyptic number.

351611820 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 351611820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

351611820 is an abundant number, since it is smaller than the sum of its proper divisors (908307540).

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

351611820 is a wasteful number, since it uses less digits than its factorization.

351611820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 351611820 is about 18751.3151538765. The cubic root of 351611820 is about 705.8100241331.

Adding to 351611820 its reverse (28116153), we get a palindrome (379727973).

It can be divided in two parts, 351 and 611820, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 351611820 in words is "three hundred fifty-one million, six hundred eleven thousand, eight hundred twenty".