3838151174400 has 567 divisors, whose sum is σ = 14259241315641. Its totient is φ = 1022378526720.

The previous prime is 3838151174387. The next prime is 3838151174467. The reversal of 3838151174400 is 44711518383.

The square root of 3838151174400 is 1959120.

It is a perfect power (a square), and thus also a powerful number.

3838151174400 is a `hidden beast` number, since 3 + 83 + 8 + 15 + 117 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1381734422784 + 2456416751616 = 1175472^2 + 1567296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4231698747 + ... + 4231699653.

Almost surely, 2^{3838151174400} is an apocalyptic number.

3838151174400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3838151174400 is the 1959120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838151174400

3838151174400 is an abundant number, since it is smaller than the sum of its proper divisors (10421090141241).

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

3838151174400 is an frugal number, since it uses more digits than its factorization.

3838151174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3838151174400 in words is "three trillion, eight hundred thirty-eight billion, one hundred fifty-one million, one hundred seventy-four thousand, four hundred".