361659870 has 512 divisors, whose sum is σ = 1306368000. Its totient is φ = 69672960.

The previous prime is 361659869. The next prime is 361659917. The reversal of 361659870 is 78956163.

It is a happy number.

It is a super-3 number, since 3×361659870³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12471016 + ... + 12471044.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^361659870 is an apocalyptic number.

361659870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361659870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

361659870 is an abundant number, since it is smaller than the sum of its proper divisors (944708130).

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

361659870 is a wasteful number, since it uses less digits than its factorization.

361659870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 361659870 is about 19017.3570718962. The cubic root of 361659870 is about 712.4703145527.

The spelling of 361659870 in words is "three hundred sixty-one million, six hundred fifty-nine thousand, eight hundred seventy".