361138800 has 240 divisors, whose sum is σ = 1278668160. Its totient is φ = 86400000.

The previous prime is 361138787. The next prime is 361138807. The reversal of 361138800 is 8831163.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361138807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438675 + ... + 1438925.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^361138800 is an apocalyptic number.

361138800 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 361138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639334080).

361138800 is an abundant number, since it is smaller than the sum of its proper divisors (917529360).

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

361138800 is a wasteful number, since it uses less digits than its factorization.

361138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 361138800 is about 19003.6522805486. The cubic root of 361138800 is about 712.1279806134.

Adding to 361138800 its reverse (8831163), we get a palindrome (369969963).

The spelling of 361138800 in words is "three hundred sixty-one million, one hundred thirty-eight thousand, eight hundred".