378062400 has 168 divisors, whose sum is σ = 1257320320. Its totient is φ = 99440640.

The previous prime is 378062393. The next prime is 378062413. The reversal of 378062400 is 4260873.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378702 + ... + 379698.

Almost surely, 2^378062400 is an apocalyptic number.

378062400 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 378062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628660160).

378062400 is an abundant number, since it is smaller than the sum of its proper divisors (879257920).

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

378062400 is a wasteful number, since it uses less digits than its factorization.

378062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 378062400 is about 19443.8267838407. The cubic root of 378062400 is about 723.0824635389.

The spelling of 378062400 in words is "three hundred seventy-eight million, sixty-two thousand, four hundred".