351852336 has 240 divisors, whose sum is σ = 1175341440. Its totient is φ = 100776960.

The previous prime is 351852329. The next prime is 351852353. The reversal of 351852336 is 633258153.

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

It is a self number, because there is not a number n which added to its sum of digits gives 351852336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812376 + ... + 812808.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2^351852336 is an apocalyptic number.

351852336 is a gapful number since it is divisible by the number (36) 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 351852336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587670720).

351852336 is an abundant number, since it is smaller than the sum of its proper divisors (823489104).

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

351852336 is a wasteful number, since it uses less digits than its factorization.

351852336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 351852336 is about 18757.7273676744. The cubic root of 351852336 is about 705.9709211808.

Subtracting from 351852336 its product of digits (64800), we obtain a square (351787536 = 18756²).

The spelling of 351852336 in words is "three hundred fifty-one million, eight hundred fifty-two thousand, three hundred thirty-six".