3904415424 has 168 divisors, whose sum is σ = 13774094880. Its totient is φ = 1029722112.

The previous prime is 3904415423. The next prime is 3904415429. The reversal of 3904415424 is 4245144093.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3904415423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15172 + ... + 89660.

It is an arithmetic number, because the mean of its divisors is an integer number (81988660).

Almost surely, 2^3904415424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887047440).

3904415424 is an abundant number, since it is smaller than the sum of its proper divisors (9869679456).

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

3904415424 is a wasteful number, since it uses less digits than its factorization.

3904415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74527 (or 74514 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3904415424 is about 62485.3216683726. The cubic root of 3904415424 is about 1574.6547221959.

The spelling of 3904415424 in words is "three billion, nine hundred four million, four hundred fifteen thousand, four hundred twenty-four".