3729466125 has 256 divisors, whose sum is σ = 8741191680. Its totient is φ = 1524096000.

The previous prime is 3729466109. The next prime is 3729466151. The reversal of 3729466125 is 5216649273.

3729466125 is a `hidden beast` number, since 3 + 7 + 29 + 4 + 6 + 612 + 5 = 666.

3729466125 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3729466125 - 2⁴ = 3729466109 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29365812 + ... + 29365938.

It is an arithmetic number, because the mean of its divisors is an integer number (34145280).

Almost surely, 2^3729466125 is an apocalyptic number.

3729466125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3729466125 is an abundant number, since it is smaller than the sum of its proper divisors (5011725555).

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

3729466125 is a wasteful number, since it uses less digits than its factorization.

3729466125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 3729466125 is about 61069.3550399871. The cubic root of 3729466125 is about 1550.7753491655.

The spelling of 3729466125 in words is "three billion, seven hundred twenty-nine million, four hundred sixty-six thousand, one hundred twenty-five".