1361388000 has 384 divisors, whose sum is σ = 5371591680. Its totient is φ = 294451200.

The previous prime is 1361387987. The next prime is 1361388037. The reversal of 1361388000 is 8831631.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1595574 + ... + 1596426.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^1361388000 is an apocalyptic number.

1361388000 is a gapful number since it is divisible by the number (10) 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 1361388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685795840).

1361388000 is an abundant number, since it is smaller than the sum of its proper divisors (4010203680).

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

1361388000 is a wasteful number, since it uses less digits than its factorization.

1361388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 889 counting only the distinct ones).

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

The square root of 1361388000 is about 36896.9917472956. The cubic root of 1361388000 is about 1108.3084372018.

The spelling of 1361388000 in words is "one billion, three hundred sixty-one million, three hundred eighty-eight thousand".