39438782464 has 117 divisors (see below), whose sum is σ = 82451810077. Its totient is φ = 18861473792.

The previous prime is 39438782431. The next prime is 39438782473. The reversal of 39438782464 is 46428783493.

The square root of 39438782464 is 198592.

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., 20680740864 + 18758041600 = 143808^2 + 136960^2 .

It is a super-2 number, since 2×39438782464² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39438782399 and 39438782408.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 368586699 + ... + 368586805.

Almost surely, 2^39438782464 is an apocalyptic number.

39438782464 is the 198592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39438782464

39438782464 is an abundant number, since it is smaller than the sum of its proper divisors (43013027613).

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

39438782464 is an frugal number, since it uses more digits than its factorization.

39438782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 138 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 58.

The spelling of 39438782464 in words is "thirty-nine billion, four hundred thirty-eight million, seven hundred eighty-two thousand, four hundred sixty-four".