3738304256400 has 900 divisors, whose sum is σ = 16428468056880. Its totient is φ = 809490931200.

The previous prime is 3738304256377. The next prime is 3738304256473. The reversal of 3738304256400 is 46524038373.

3738304256400 is a `hidden beast` number, since 3 + 7 + 3 + 83 + 0 + 4 + 2 + 564 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 30102435 + ... + 30226365.

Almost surely, 2^{3738304256400} is an apocalyptic number.

3738304256400 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 3738304256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214234028440).

3738304256400 is an abundant number, since it is smaller than the sum of its proper divisors (12690163800480).

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

3738304256400 is a wasteful number, since it uses less digits than its factorization.

3738304256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123994 (or 123967 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3738304256400 in words is "three trillion, seven hundred thirty-eight billion, three hundred four million, two hundred fifty-six thousand, four hundred".