361542280 has 128 divisors (see below), whose sum is σ = 922078080. Its totient is φ = 126443520.

The previous prime is 361542277. The next prime is 361542287. The reversal of 361542280 is 82245163.

It is a super-3 number, since 3×361542280³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (361542287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1835142 + ... + 1835338.

It is an arithmetic number, because the mean of its divisors is an integer number (7203735).

Almost surely, 2^361542280 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 361542280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

361542280 is an abundant number, since it is smaller than the sum of its proper divisors (560535800).

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

361542280 is a wasteful number, since it uses less digits than its factorization.

361542280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 361542280 is about 19014.2651711813. The cubic root of 361542280 is about 712.3930887088.

The spelling of 361542280 in words is "three hundred sixty-one million, five hundred forty-two thousand, two hundred eighty".