361541880 has 320 divisors, whose sum is σ = 1463616000. Its totient is φ = 78195456.

The previous prime is 361541879. The next prime is 361541891. The reversal of 361541880 is 88145163.

361541880 is a `hidden beast` number, since 36 + 1 + 541 + 8 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430501 + ... + 431339.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^361541880 is an apocalyptic number.

361541880 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 361541880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808000).

361541880 is an abundant number, since it is smaller than the sum of its proper divisors (1102074120).

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

361541880 is a wasteful number, since it uses less digits than its factorization.

361541880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 361541880 is about 19014.2546527599. The cubic root of 361541880 is about 712.3928259850.

The spelling of 361541880 in words is "three hundred sixty-one million, five hundred forty-one thousand, eight hundred eighty".