361877880 has 256 divisors, whose sum is σ = 1380556800. Its totient is φ = 73820160.

The previous prime is 361877851. The next prime is 361877881. The reversal of 361877880 is 88778163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361877881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337986 + ... + 339054.

It is an arithmetic number, because the mean of its divisors is an integer number (5392800).

Almost surely, 2^361877880 is an apocalyptic number.

361877880 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 361877880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690278400).

361877880 is an abundant number, since it is smaller than the sum of its proper divisors (1018678920).

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

361877880 is a wasteful number, since it uses less digits than its factorization.

361877880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 361877880 is about 19023.0880773864. The cubic root of 361877880 is about 712.6134457710.

The spelling of 361877880 in words is "three hundred sixty-one million, eight hundred seventy-seven thousand, eight hundred eighty".