378903724800 has 432 divisors, whose sum is σ = 1366764521472. Its totient is φ = 92027289600.

The previous prime is 378903724753. The next prime is 378903724811. The reversal of 378903724800 is 8427309873.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10099677 + ... + 10137123.

Almost surely, 2^378903724800 is an apocalyptic number.

378903724800 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 378903724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683382260736).

378903724800 is an abundant number, since it is smaller than the sum of its proper divisors (987860796672).

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

378903724800 is a wasteful number, since it uses less digits than its factorization.

378903724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37524 (or 37505 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 378903724800 in words is "three hundred seventy-eight billion, nine hundred three million, seven hundred twenty-four thousand, eight hundred".