3925787424 has 384 divisors, whose sum is σ = 12485394432. Its totient is φ = 1068318720.

The previous prime is 3925787413. The next prime is 3925787443. The reversal of 3925787424 is 4247875293.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3386880) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30911649 + ... + 30911775.

It is an arithmetic number, because the mean of its divisors is an integer number (32514048).

Almost surely, 2^3925787424 is an apocalyptic number.

3925787424 is a gapful number since it is divisible by the number (34) 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 3925787424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242697216).

3925787424 is an abundant number, since it is smaller than the sum of its proper divisors (8559607008).

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

3925787424 is a wasteful number, since it uses less digits than its factorization.

3925787424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 3925787424 is about 62656.1044432224. The cubic root of 3925787424 is about 1577.5226122539.

The spelling of 3925787424 in words is "three billion, nine hundred twenty-five million, seven hundred eighty-seven thousand, four hundred twenty-four".