378020729952 has 288 divisors, whose sum is σ = 1125280945152. Its totient is φ = 124830180864.

The previous prime is 378020729951. The next prime is 378020730047. The reversal of 378020729952 is 259927020873.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378020729951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480330903 + ... + 480331689.

It is an arithmetic number, because the mean of its divisors is an integer number (3907225504).

Almost surely, 2^378020729952 is an apocalyptic number.

378020729952 is a gapful number since it is divisible by the number (32) 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 378020729952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562640472576).

378020729952 is an abundant number, since it is smaller than the sum of its proper divisors (747260215200).

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

378020729952 is a wasteful number, since it uses less digits than its factorization.

378020729952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 378020729952 in words is "three hundred seventy-eight billion, twenty million, seven hundred twenty-nine thousand, nine hundred fifty-two".