361619712 has 216 divisors, whose sum is σ = 1107095808. Its totient is φ = 113356800.

The previous prime is 361619711. The next prime is 361619737. The reversal of 361619712 is 217916163.

361619712 is a `hidden beast` number, since 36 + 1 + 619 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×361619712² = 261537632213925888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (361619711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4356823 + ... + 4356905.

Almost surely, 2^361619712 is an apocalyptic number.

361619712 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 361619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553547904).

361619712 is an abundant number, since it is smaller than the sum of its proper divisors (745476096).

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

361619712 is a wasteful number, since it uses less digits than its factorization.

361619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 361619712 is about 19016.3012176396. The cubic root of 361619712 is about 712.4439431429.

The spelling of 361619712 in words is "three hundred sixty-one million, six hundred nineteen thousand, seven hundred twelve".