369781401600 has 432 divisors, whose sum is σ = 1426209302700. Its totient is φ = 91021639680.

The previous prime is 369781401569. The next prime is 369781401623. The reversal of 369781401600 is 6104187963.

It is a happy number.

369781401600 is a `hidden beast` number, since 36 + 9 + 7 + 8 + 1 + 4 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 183074448384 + 186706953216 = 427872^2 + 432096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5959536 + ... + 6021264.

Almost surely, 2^369781401600 is an apocalyptic number.

369781401600 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 369781401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713104651350).

369781401600 is an abundant number, since it is smaller than the sum of its proper divisors (1056427901100).

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

369781401600 is a wasteful number, since it uses less digits than its factorization.

369781401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61780 (or 61752 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 369781401600 in words is "three hundred sixty-nine billion, seven hundred eighty-one million, four hundred one thousand, six hundred".