1385509536 has 240 divisors, whose sum is σ = 4314739968. Its totient is φ = 435456000.

The previous prime is 1385509519. The next prime is 1385509591. The reversal of 1385509536 is 6359055831.

1385509536 is a `hidden beast` number, since 1 + 3 + 8 + 550 + 95 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1385509491 and 1385509500.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3454936 + ... + 3455336.

Almost surely, 2^1385509536 is an apocalyptic number.

1385509536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1385509536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157369984).

1385509536 is an abundant number, since it is smaller than the sum of its proper divisors (2929230432).

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

1385509536 is a wasteful number, since it uses less digits than its factorization.

1385509536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 1385509536 is about 37222.4332358861. The cubic root of 1385509536 is about 1114.8159484927.

The spelling of 1385509536 in words is "one billion, three hundred eighty-five million, five hundred nine thousand, five hundred thirty-six".