3938457600 has 1152 divisors, whose sum is σ = 18523814400. Its totient is φ = 796262400.

The previous prime is 3938457587. The next prime is 3938457629. The reversal of 3938457600 is 67548393.

3938457600 is a `hidden beast` number, since 3 + 9 + 38 + 4 + 5 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3938457600² = 31022896533995520000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106444782 + ... + 106444818.

It is an arithmetic number, because the mean of its divisors is an integer number (16079700).

Almost surely, 2^3938457600 is an apocalyptic number.

3938457600 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 3938457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9261907200).

3938457600 is an abundant number, since it is smaller than the sum of its proper divisors (14585356800).

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

3938457600 is a wasteful number, since it uses less digits than its factorization.

3938457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

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

The square root of 3938457600 is about 62757.1318656294. The cubic root of 3938457600 is about 1579.2179005925.

The spelling of 3938457600 in words is "three billion, nine hundred thirty-eight million, four hundred fifty-seven thousand, six hundred".