395738640 has 240 divisors, whose sum is σ = 1500707520. Its totient is φ = 92574720.

The previous prime is 395738627. The next prime is 395738641. The reversal of 395738640 is 46837593.

395738640 is a `hidden beast` number, since 39 + 573 + 8 + 6 + 40 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (395738641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228819 + ... + 230541.

It is an arithmetic number, because the mean of its divisors is an integer number (6252948).

Almost surely, 2^395738640 is an apocalyptic number.

395738640 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 395738640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750353760).

395738640 is an abundant number, since it is smaller than the sum of its proper divisors (1104968880).

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

395738640 is a wasteful number, since it uses less digits than its factorization.

395738640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 395738640 is about 19893.1807411485. The cubic root of 395738640 is about 734.1804553996.

The spelling of 395738640 in words is "three hundred ninety-five million, seven hundred thirty-eight thousand, six hundred forty".