361677312 has 320 divisors, whose sum is σ = 1207958400. Its totient is φ = 107495424.

The previous prime is 361677301. The next prime is 361677313. The reversal of 361677312 is 213776163.

361677312 is a `hidden beast` number, since 3 + 616 + 7 + 7 + 31 + 2 = 666.

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

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (361677313) 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, 19035639 + ... + 19035657.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2^361677312 is an apocalyptic number.

361677312 is a gapful number since it is divisible by the number (32) 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 361677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603979200).

361677312 is an abundant number, since it is smaller than the sum of its proper divisors (846281088).

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

361677312 is an frugal number, since it uses more digits than its factorization.

361677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 361677312 is about 19017.8156474396. The cubic root of 361677312 is about 712.4817679545.

The spelling of 361677312 in words is "three hundred sixty-one million, six hundred seventy-seven thousand, three hundred twelve".