378964170 has 320 divisors, whose sum is σ = 1218460320. Its totient is φ = 83607552.

The previous prime is 378964121. The next prime is 378964207. The reversal of 378964170 is 71469873.

It can be written as a sum of positive squares in 16 ways, for example, as 37564641 + 341399529 = 6129^2 + 18477^2 .

It is a super-2 number, since 2×378964170² = 287227684287577800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5191254 + ... + 5191326.

Almost surely, 2^378964170 is an apocalyptic number.

378964170 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378964170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609230160).

378964170 is an abundant number, since it is smaller than the sum of its proper divisors (839496150).

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

378964170 is a wasteful number, since it uses less digits than its factorization.

378964170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 378964170 is about 19467.0020804437. The cubic root of 378964170 is about 723.6569157313.

Adding to 378964170 its sum of digits (45), we get a triangular number (378964215 = T₂₇₅₃₀).

The spelling of 378964170 in words is "three hundred seventy-eight million, nine hundred sixty-four thousand, one hundred seventy".