378407800812600 has 576 divisors, whose sum is σ = 1457621383239840. Its totient is φ = 90629056051200.

The previous prime is 378407800812539. The next prime is 378407800812667. The reversal of 378407800812600 is 6218008704873.

It is a happy number.

378407800812600 is a `hidden beast` number, since 37 + 8 + 407 + 80 + 0 + 8 + 126 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 15282870 + ... + 31470330.

Almost surely, 2^{378407800812600} is an apocalyptic number.

378407800812600 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 378407800812600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728810691619920).

378407800812600 is an abundant number, since it is smaller than the sum of its proper divisors (1079213582427240).

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

378407800812600 is a wasteful number, since it uses less digits than its factorization.

378407800812600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16187542 (or 16187521 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 378407800812600 in words is "three hundred seventy-eight trillion, four hundred seven billion, eight hundred million, eight hundred twelve thousand, six hundred".