38449920640000 has 495 divisors, whose sum is σ = 100703466791697. Its totient is φ = 14667620352000.

The previous prime is 38449920639967. The next prime is 38449920640063. The reversal of 38449920640000 is 4602994483.

The square root of 38449920640000 is 6200800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 35866108724224 + 2583811915776 = 5988832^2 + 1607424^2 .

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 44 ways as a sum of consecutive naturals, for example, 114094719832 + ... + 114094720168.

Almost surely, 2^{38449920640000} is an apocalyptic number.

38449920640000 is the 6200800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38449920640000

38449920640000 is an abundant number, since it is smaller than the sum of its proper divisors (62253546151697).

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

38449920640000 is an frugal number, since it uses more digits than its factorization.

38449920640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 38449920640000 in words is "thirty-eight trillion, four hundred forty-nine billion, nine hundred twenty million, six hundred forty thousand".