361290664 has 64 divisors (see below), whose sum is σ = 826277760. Its totient is φ = 144568320.

The previous prime is 361290653. The next prime is 361290673. The reversal of 361290664 is 466092163.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123264 + ... + 126160.

It is an arithmetic number, because the mean of its divisors is an integer number (12910590).

Almost surely, 2^361290664 is an apocalyptic number.

361290664 is a gapful number since it is divisible by the number (34) 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 361290664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413138880).

361290664 is an abundant number, since it is smaller than the sum of its proper divisors (464987096).

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

361290664 is a wasteful number, since it uses less digits than its factorization.

361290664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 361290664 is about 19007.6475135667. The cubic root of 361290664 is about 712.2277866050.

The spelling of 361290664 in words is "three hundred sixty-one million, two hundred ninety thousand, six hundred sixty-four".