378883552320 has 1680 divisors, whose sum is σ = 1726941984768. Its totient is φ = 76779601920.

The previous prime is 378883552279. The next prime is 378883552393. The reversal of 378883552320 is 23255388873.

It is a happy number.

378883552320 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 83 + 552 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1983683425 + ... + 1983683615.

Almost surely, 2^378883552320 is an apocalyptic number.

378883552320 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 378883552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863470992384).

378883552320 is an abundant number, since it is smaller than the sum of its proper divisors (1348058432448).

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

378883552320 is a wasteful number, since it uses less digits than its factorization.

378883552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 378883552320 in words is "three hundred seventy-eight billion, eight hundred eighty-three million, five hundred fifty-two thousand, three hundred twenty".