378964960 has 96 divisors (see below), whose sum is σ = 982552032. Its totient is φ = 136980480.

The previous prime is 378964933. The next prime is 378964979. The reversal of 378964960 is 69469873.

It is a super-2 number, since 2×378964960² = 287228881815603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 378964898 and 378964907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346174 + ... + 347266.

It is an arithmetic number, because the mean of its divisors is an integer number (10234917).

Almost surely, 2^378964960 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 378964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491276016).

378964960 is an abundant number, since it is smaller than the sum of its proper divisors (603587072).

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

378964960 is a wasteful number, since it uses less digits than its factorization.

378964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The square root of 378964960 is about 19467.0223711794. The cubic root of 378964960 is about 723.6574185833.

The spelling of 378964960 in words is "three hundred seventy-eight million, nine hundred sixty-four thousand, nine hundred sixty".