361603680 has 48 divisors (see below), whose sum is σ = 1139053104. Its totient is φ = 96427520.

The previous prime is 361603673. The next prime is 361603717. The reversal of 361603680 is 86306163.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376191 + ... + 377150.

It is an arithmetic number, because the mean of its divisors is an integer number (23730273).

Almost surely, 2^361603680 is an apocalyptic number.

361603680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361603680 is an abundant number, since it is smaller than the sum of its proper divisors (777449424).

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

361603680 is a wasteful number, since it uses less digits than its factorization.

361603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753359 (or 753351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 361603680 is about 19015.8796798886. The cubic root of 361603680 is about 712.4334145224.

The spelling of 361603680 in words is "three hundred sixty-one million, six hundred three thousand, six hundred eighty".