1384378800 has 240 divisors, whose sum is σ = 5243831040. Its totient is φ = 305464320.

The previous prime is 1384378781. The next prime is 1384378819. The reversal of 1384378800 is 88734831.

It is an interprime number because it is at equal distance from previous prime (1384378781) and next prime (1384378819).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 240759 + ... + 246441.

It is an arithmetic number, because the mean of its divisors is an integer number (21849296).

Almost surely, 2^1384378800 is an apocalyptic number.

1384378800 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 1384378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621915520).

1384378800 is an abundant number, since it is smaller than the sum of its proper divisors (3859452240).

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

1384378800 is a wasteful number, since it uses less digits than its factorization.

1384378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1384378800 is about 37207.2412307067. The cubic root of 1384378800 is about 1114.5125930434.

The spelling of 1384378800 in words is "one billion, three hundred eighty-four million, three hundred seventy-eight thousand, eight hundred".