395743680 has 336 divisors, whose sum is σ = 1476390240. Its totient is φ = 96927744.

The previous prime is 395743679. The next prime is 395743687. The reversal of 395743680 is 86347593.

It is a super-2 number, since 2×395743680² = 313226120519884800, 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 not an unprimeable number, because it can be changed into a prime (395743687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2888572 + ... + 2888708.

Almost surely, 2^395743680 is an apocalyptic number.

395743680 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 395743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738195120).

395743680 is an abundant number, since it is smaller than the sum of its proper divisors (1080646560).

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

395743680 is a wasteful number, since it uses less digits than its factorization.

395743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

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

The square root of 395743680 is about 19893.3074173200. The cubic root of 395743680 is about 734.1835721484.

The spelling of 395743680 in words is "three hundred ninety-five million, seven hundred forty-three thousand, six hundred eighty".