378290953782000 has 1920 divisors, whose sum is σ = 1652168254464000. Its totient is φ = 81034142515200.

The previous prime is 378290953781987. The next prime is 378290953782011. The reversal of 378290953782000 is 287359092873.

378290953782000 is a `hidden beast` number, since 3 + 7 + 8 + 2 + 90 + 9 + 537 + 8 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26108830756 + ... + 26108845244.

It is an arithmetic number, because the mean of its divisors is an integer number (860504299200).

Almost surely, 2^{378290953782000} is an apocalyptic number.

378290953782000 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 378290953782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826084127232000).

378290953782000 is an abundant number, since it is smaller than the sum of its proper divisors (1273877300682000).

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

378290953782000 is a wasteful number, since it uses less digits than its factorization.

378290953782000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14801 (or 14762 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 378290953782000 in words is "three hundred seventy-eight trillion, two hundred ninety billion, nine hundred fifty-three million, seven hundred eighty-two thousand".