3830630400 has 576 divisors, whose sum is σ = 14989665600. Its totient is φ = 955514880.

The previous prime is 3830630357. The next prime is 3830630423. The reversal of 3830630400 is 40360383.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3830630400² = 29347458522808320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23500719 + ... + 23500881.

It is an arithmetic number, because the mean of its divisors is an integer number (26023725).

Almost surely, 2^3830630400 is an apocalyptic number.

3830630400 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 3830630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7494832800).

3830630400 is an abundant number, since it is smaller than the sum of its proper divisors (11159035200).

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

3830630400 is a wasteful number, since it uses less digits than its factorization.

3830630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3830630400 is about 61892.0867316655. The cubic root of 3830630400 is about 1564.6723822304.

Adding to 3830630400 its reverse (40360383), we get a palindrome (3870990783).

The spelling of 3830630400 in words is "three billion, eight hundred thirty million, six hundred thirty thousand, four hundred".