361741920 has 96 divisors (see below), whose sum is σ = 1143942912. Its totient is φ = 96087552.

The previous prime is 361741909. The next prime is 361741927. The reversal of 361741920 is 29147163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×361741920⁴ (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361741927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134509 + ... + 137171.

It is an arithmetic number, because the mean of its divisors is an integer number (11916072).

Almost surely, 2^361741920 is an apocalyptic number.

361741920 is a gapful number since it is divisible by the number (30) 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 361741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571971456).

361741920 is an abundant number, since it is smaller than the sum of its proper divisors (782200992).

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

361741920 is a wasteful number, since it uses less digits than its factorization.

361741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 361741920 is about 19019.5141893793. The cubic root of 361741920 is about 712.5241900067.

The spelling of 361741920 in words is "three hundred sixty-one million, seven hundred forty-one thousand, nine hundred twenty".