3925309440 has 192 divisors, whose sum is σ = 13525293600. Its totient is φ = 966131712.

The previous prime is 3925309411. The next prime is 3925309441. The reversal of 3925309440 is 449035293.

3925309440 is digitally balanced in base 2, 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 (192).

It is a super-2 number, since 2×3925309440² = 30816108399506227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925309441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394446 + ... + 404274.

Almost surely, 2^3925309440 is an apocalyptic number.

3925309440 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 3925309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762646800).

3925309440 is an abundant number, since it is smaller than the sum of its proper divisors (9599984160).

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

3925309440 is a wasteful number, since it uses less digits than its factorization.

3925309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9852 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3925309440 is about 62652.2899820908. The cubic root of 3925309440 is about 1577.4585859333.

The spelling of 3925309440 in words is "three billion, nine hundred twenty-five million, three hundred nine thousand, four hundred forty".