Search a number
3924385920 = 273257137487

3924385920 has 384 divisors, whose sum is σ = 16680867840. Its totient is φ = 827891712.

The previous prime is 3924385897. The next prime is 3924385921. The reversal of 3924385920 is 295834293.

It is a happy number.

3924385920 is a `hidden beast` number, since 3 + 9 + 24 + 38 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (3924385921) 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, 520417 + ... + 527903.

It is an arithmetic number, because the mean of its divisors is an integer number (43439760).

Almost surely, 23924385920 is an apocalyptic number.

3924385920 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 3924385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8340433920).

3924385920 is an abundant number, since it is smaller than the sum of its proper divisors (12756481920).

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

3924385920 is a wasteful number, since it uses less digits than its factorization.

3924385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3924385920 is about 62644.9193470628. The cubic root of 3924385920 is about 1577.3348650020.

The spelling of 3924385920 in words is "three billion, nine hundred twenty-four million, three hundred eighty-five thousand, nine hundred twenty".