3925429200 has 1080 divisors, whose sum is σ = 18409684800. Its totient is φ = 767692800.

The previous prime is 3925429171. The next prime is 3925429201. The reversal of 3925429200 is 29245293.

3925429200 is a `hidden beast` number, since 3 + 9 + 25 + 429 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3925429201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 230907592 + ... + 230907608.

Almost surely, 2^3925429200 is an apocalyptic number.

3925429200 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 3925429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204842400).

3925429200 is an abundant number, since it is smaller than the sum of its proper divisors (14484255600).

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

3925429200 is a wasteful number, since it uses less digits than its factorization.

3925429200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3925429200 is about 62653.2457259798. The cubic root of 3925429200 is about 1577.4746283644.

The spelling of 3925429200 in words is "three billion, nine hundred twenty-five million, four hundred twenty-nine thousand, two hundred".