38142037253776 has 15 divisors (see below), whose sum is σ = 73900245042633. Its totient is φ = 19071006275040.

The previous prime is 38142037253729. The next prime is 38142037253807. The reversal of 38142037253776 is 67735273024183.

The square root of 38142037253776 is 6175924.

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

It can be written as a sum of positive squares in only one way, i.e., 7817191013776 + 30324846240000 = 2795924^2 + 5506800^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38142037253776.

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 2 ways as a sum of consecutive naturals, for example, 23931706 + ... + 25475686.

Almost surely, 2^{38142037253776} is an apocalyptic number.

38142037253776 is the 6175924-th square number.

It is an amenable number.

38142037253776 is a deficient number, since it is larger than the sum of its proper divisors (35758207788857).

38142037253776 is an frugal number, since it uses more digits than its factorization.

38142037253776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087970 (or 1543983 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 58.

The spelling of 38142037253776 in words is "thirty-eight trillion, one hundred forty-two billion, thirty-seven million, two hundred fifty-three thousand, seven hundred seventy-six".