3925938240 has 448 divisors, whose sum is σ = 15976396800. Its totient is φ = 888993792.

The previous prime is 3925938229. The next prime is 3925938253. The reversal of 3925938240 is 428395293.

It is a happy number.

3925938240 is a `hidden beast` number, since 39 + 2 + 593 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8406487 + ... + 8406953.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^3925938240 is an apocalyptic number.

3925938240 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 3925938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988198400).

3925938240 is an abundant number, since it is smaller than the sum of its proper divisors (12050458560).

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

3925938240 is a wasteful number, since it uses less digits than its factorization.

3925938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

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

The square root of 3925938240 is about 62657.3079536617. The cubic root of 3925938240 is about 1577.5428130933.

The spelling of 3925938240 in words is "three billion, nine hundred twenty-five million, nine hundred thirty-eight thousand, two hundred forty".