378749952 has 352 divisors, whose sum is σ = 1362483200. Its totient is φ = 101523456.

The previous prime is 378749893. The next prime is 378749963. The reversal of 378749952 is 259947873.

It is a super-2 number, since 2×378749952² = 286903052280004608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3677133 + ... + 3677235.

Almost surely, 2^378749952 is an apocalyptic number.

378749952 is a gapful number since it is divisible by the number (32) 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 378749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681241600).

378749952 is an abundant number, since it is smaller than the sum of its proper divisors (983733248).

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

378749952 is a wasteful number, since it uses less digits than its factorization.

378749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 378749952 is about 19461.4992228245. The cubic root of 378749952 is about 723.5205355946.

The spelling of 378749952 in words is "three hundred seventy-eight million, seven hundred forty-nine thousand, nine hundred fifty-two".