378962640 has 240 divisors, whose sum is σ = 1540401408. Its totient is φ = 81506304.

The previous prime is 378962629. The next prime is 378962669. The reversal of 378962640 is 46269873.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×378962640² = 287225365031539200, which contains 22 as substring.

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

It is a congruent number.

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, 83469 + ... + 87891.

Almost surely, 2^378962640 is an apocalyptic number.

378962640 is a gapful number since it is divisible by the number (30) 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 378962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770200704).

378962640 is an abundant number, since it is smaller than the sum of its proper divisors (1161438768).

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

378962640 is a wasteful number, since it uses less digits than its factorization.

378962640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 378962640 is about 19466.9627831359. The cubic root of 378962640 is about 723.6559418516.

The spelling of 378962640 in words is "three hundred seventy-eight million, nine hundred sixty-two thousand, six hundred forty".