38251998432400 has 45 divisors (see below), whose sum is σ = 91900723415403. Its totient is φ = 15300749894400.

The previous prime is 38251998432377. The next prime is 38251998432409. The reversal of 38251998432400 is 423489915283.

The square root of 38251998432400 is 6184820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1972867449744 + 36279130982656 = 1404588^2 + 6023216^2 .

It is a super-3 number, since 3×38251998432400³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38251998432409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123541780 + ... + 123851020.

Almost surely, 2^{38251998432400} is an apocalyptic number.

38251998432400 is the 6184820-th square number.

It is an amenable number.

38251998432400 is an abundant number, since it is smaller than the sum of its proper divisors (53648724983003).

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

38251998432400 is an frugal number, since it uses more digits than its factorization.

38251998432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618500 (or 309248 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 38251998432400 in words is "thirty-eight trillion, two hundred fifty-one billion, nine hundred ninety-eight million, four hundred thirty-two thousand, four hundred".