1378291200 has 480 divisors, whose sum is σ = 5370406272. Its totient is φ = 307200000.

The previous prime is 1378291177. The next prime is 1378291267. The reversal of 1378291200 is 21928731.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5491075 + ... + 5491325.

Almost surely, 2^1378291200 is an apocalyptic number.

1378291200 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 1378291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685203136).

1378291200 is an abundant number, since it is smaller than the sum of its proper divisors (3992115072).

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

1378291200 is a wasteful number, since it uses less digits than its factorization.

1378291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1378291200 is about 37125.3444428466. The cubic root of 1378291200 is about 1112.8765581322.

The spelling of 1378291200 in words is "one billion, three hundred seventy-eight million, two hundred ninety-one thousand, two hundred".