1378632000 has 448 divisors, whose sum is σ = 5021153280. Its totient is φ = 331776000.

The previous prime is 1378631981. The next prime is 1378632019. The reversal of 1378632000 is 2368731.

It is an interprime number because it is at equal distance from previous prime (1378631981) and next prime (1378632019).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12647946 + ... + 12648054.

Almost surely, 2^1378632000 is an apocalyptic number.

1378632000 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 1378632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510576640).

1378632000 is an abundant number, since it is smaller than the sum of its proper divisors (3642521280).

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

1378632000 is a wasteful number, since it uses less digits than its factorization.

1378632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1378632000 is about 37129.9340155622. The cubic root of 1378632000 is about 1112.9682748598.

The spelling of 1378632000 in words is "one billion, three hundred seventy-eight million, six hundred thirty-two thousand".