384837840 has 240 divisors, whose sum is σ = 1428979968. Its totient is φ = 92319744.

The previous prime is 384837829. The next prime is 384837841. The reversal of 384837840 is 48738483.

It is a happy number.

384837840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 (384837841) 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, 280837 + ... + 282203.

Almost surely, 2^384837840 is an apocalyptic number.

384837840 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 384837840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714489984).

384837840 is an abundant number, since it is smaller than the sum of its proper divisors (1044142128).

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

384837840 is a wasteful number, since it uses less digits than its factorization.

384837840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 384837840 is about 19617.2842157114. The cubic root of 384837840 is about 727.3764837953.

The spelling of 384837840 in words is "three hundred eighty-four million, eight hundred thirty-seven thousand, eight hundred forty".