38602810429456 has 315 divisors, whose sum is σ = 95196824661243. Its totient is φ = 15120239097600.

The previous prime is 38602810429411. The next prime is 38602810429459. The reversal of 38602810429456 is 65492401820683.

It is a happy number.

The square root of 38602810429456 is 6213116.

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

It can be written as a sum of positive squares in 10 ways, for example, as 26804849475600 + 11797960953856 = 5177340^2 + 3434816^2 .

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 38602810429456.

It is not an unprimeable number, because it can be changed into a prime (38602810429459) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 382206043806 + ... + 382206043906.

Almost surely, 2^{38602810429456} is an apocalyptic number.

38602810429456 is the 6213116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38602810429456

38602810429456 is an abundant number, since it is smaller than the sum of its proper divisors (56594014231787).

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

38602810429456 is an frugal number, since it uses more digits than its factorization.

38602810429456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 38602810429456 in words is "thirty-eight trillion, six hundred two billion, eight hundred ten million, four hundred twenty-nine thousand, four hundred fifty-six".