378401600 has 84 divisors (see below), whose sum is σ = 944502048. Its totient is φ = 149184000.

The previous prime is 378401579. The next prime is 378401603. The reversal of 378401600 is 6104873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378401603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111935 + ... + 115265.

It is an arithmetic number, because the mean of its divisors is an integer number (11244072).

Almost surely, 2^378401600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472251024).

378401600 is an abundant number, since it is smaller than the sum of its proper divisors (566100448).

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

378401600 is a wasteful number, since it uses less digits than its factorization.

378401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 378401600 is about 19452.5473910231. The cubic root of 378401600 is about 723.2986502987.

The spelling of 378401600 in words is "three hundred seventy-eight million, four hundred one thousand, six hundred".