3901607424 has 480 divisors, whose sum is σ = 13727121408. Its totient is φ = 1050624000.

The previous prime is 3901607419. The next prime is 3901607441. The reversal of 3901607424 is 4247061093.

3901607424 is a `hidden beast` number, since 3 + 9 + 0 + 1 + 607 + 42 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 20427169 + ... + 20427359.

Almost surely, 2^3901607424 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 3901607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863560704).

3901607424 is an abundant number, since it is smaller than the sum of its proper divisors (9825513984).

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

3901607424 is a wasteful number, since it uses less digits than its factorization.

3901607424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3901607424 is about 62462.8483500392. The cubic root of 3901607424 is about 1574.2771419102.

The spelling of 3901607424 in words is "three billion, nine hundred one million, six hundred seven thousand, four hundred twenty-four".