378453841920 has 1536 divisors, whose sum is σ = 1737904896000. Its totient is φ = 75804180480.

The previous prime is 378453841907. The next prime is 378453841933. The reversal of 378453841920 is 29148354873.

It is a happy number.

378453841920 is a `hidden beast` number, since 3 + 7 + 84 + 538 + 4 + 1 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (378453841907) and next prime (378453841933).

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 617379534 + ... + 617380146.

It is an arithmetic number, because the mean of its divisors is an integer number (1131448500).

Almost surely, 2^378453841920 is an apocalyptic number.

378453841920 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 378453841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868952448000).

378453841920 is an abundant number, since it is smaller than the sum of its proper divisors (1359451054080).

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

378453841920 is a wasteful number, since it uses less digits than its factorization.

378453841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 378453841920 in words is "three hundred seventy-eight billion, four hundred fifty-three million, eight hundred forty-one thousand, nine hundred twenty".