378875912400 has 300 divisors, whose sum is σ = 1360563515212. Its totient is φ = 100973537280.

The previous prime is 378875912383. The next prime is 378875912431. The reversal of 378875912400 is 4219578873.

It is a happy number.

378875912400 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 7 + 591 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3494228544 + 375381683856 = 59112^2 + 612684^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 92564754 + ... + 92568846.

Almost surely, 2^378875912400 is an apocalyptic number.

378875912400 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 378875912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680281757606).

378875912400 is an abundant number, since it is smaller than the sum of its proper divisors (981687602812).

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

378875912400 is a wasteful number, since it uses less digits than its factorization.

378875912400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6980 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 378875912400 in words is "three hundred seventy-eight billion, eight hundred seventy-five million, nine hundred twelve thousand, four hundred".