378545664 has 320 divisors, whose sum is σ = 1296345600. Its totient is φ = 95551488.

The previous prime is 378545639. The next prime is 378545723. The reversal of 378545664 is 466545873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3472842 + ... + 3472950.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^378545664 is an apocalyptic number.

378545664 is a gapful number since it is divisible by the number (34) 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 378545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648172800).

378545664 is an abundant number, since it is smaller than the sum of its proper divisors (917799936).

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

378545664 is a wasteful number, since it uses less digits than its factorization.

378545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 378545664 is about 19456.2499983938. The cubic root of 378545664 is about 723.3904293995.

The spelling of 378545664 in words is "three hundred seventy-eight million, five hundred forty-five thousand, six hundred sixty-four".