361238400 has 384 divisors, whose sum is σ = 1369778400. Its totient is φ = 92897280.

The previous prime is 361238387. The next prime is 361238411. The reversal of 361238400 is 4832163.

It is a happy number.

361238400 is a `hidden beast` number, since 3 + 612 + 3 + 8 + 40 + 0 = 666.

361238400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196744 + ... + 3196856.

Almost surely, 2^361238400 is an apocalyptic number.

361238400 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 361238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684889200).

361238400 is an abundant number, since it is smaller than the sum of its proper divisors (1008540000).

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

361238400 is a wasteful number, since it uses less digits than its factorization.

361238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361238400 is about 19006.2726487862. The cubic root of 361238400 is about 712.1934415270.

The spelling of 361238400 in words is "three hundred sixty-one million, two hundred thirty-eight thousand, four hundred".