361725408 has 144 divisors (see below), whose sum is σ = 1129355136. Its totient is φ = 108913920.

The previous prime is 361725389. The next prime is 361725409. The reversal of 361725408 is 804527163.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361725409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718885 + ... + 719387.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^361725408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564677568).

361725408 is an abundant number, since it is smaller than the sum of its proper divisors (767629728).

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

361725408 is a wasteful number, since it uses less digits than its factorization.

361725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 361725408 is about 19019.0801039377. The cubic root of 361725408 is about 712.5133485957.

The spelling of 361725408 in words is "three hundred sixty-one million, seven hundred twenty-five thousand, four hundred eight".