359805996 has 192 divisors, whose sum is σ = 1066867200. Its totient is φ = 103910400.

The previous prime is 359805973. The next prime is 359806039. The reversal of 359805996 is 699508953.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4042720 + ... + 4042808.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^359805996 is an apocalyptic number.

359805996 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 359805996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533433600).

359805996 is an abundant number, since it is smaller than the sum of its proper divisors (707061204).

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

359805996 is a wasteful number, since it uses less digits than its factorization.

359805996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 359805996 is about 18968.5528177560. The cubic root of 359805996 is about 711.2508506162.

The spelling of 359805996 in words is "three hundred fifty-nine million, eight hundred five thousand, nine hundred ninety-six".