378411264 has 432 divisors, whose sum is σ = 1428510720. Its totient is φ = 97044480.

The previous prime is 378411251. The next prime is 378411281. The reversal of 378411264 is 462114873.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (32256) is a multiple of the sum of its prime factors (128).

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, 4789977 + ... + 4790055.

Almost surely, 2^378411264 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 378411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714255360).

378411264 is an abundant number, since it is smaller than the sum of its proper divisors (1050099456).

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

378411264 is an equidigital number, since it uses as much as digits as its factorization.

378411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 378411264 is about 19452.7957887806. The cubic root of 378411264 is about 723.3048076886.

The spelling of 378411264 in words is "three hundred seventy-eight million, four hundred eleven thousand, two hundred sixty-four".