361939968 has 352 divisors, whose sum is σ = 1238025600. Its totient is φ = 103514112.

The previous prime is 361939961. The next prime is 361940003. The reversal of 361939968 is 869939163.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361939961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6829030 + ... + 6829082.

Almost surely, 2^361939968 is an apocalyptic number.

361939968 is a gapful number since it is divisible by the number (38) 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 361939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619012800).

361939968 is an abundant number, since it is smaller than the sum of its proper divisors (876085632).

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

361939968 is a wasteful number, since it uses less digits than its factorization.

361939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 361939968 is about 19024.7199190947. The cubic root of 361939968 is about 712.6541982052.

The spelling of 361939968 in words is "three hundred sixty-one million, nine hundred thirty-nine thousand, nine hundred sixty-eight".