1382516352 has 192 divisors, whose sum is σ = 4577564160. Its totient is φ = 392325120.

The previous prime is 1382516339. The next prime is 1382516363. The reversal of 1382516352 is 2536152831.

1382516352 is a `hidden beast` number, since 13 + 8 + 2 + 5 + 1 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1382516352² = 3822702927094775808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394577 + ... + 1395567.

It is an arithmetic number, because the mean of its divisors is an integer number (23841480).

Almost surely, 2^1382516352 is an apocalyptic number.

1382516352 is a gapful number since it is divisible by the number (12) 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 1382516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288782080).

1382516352 is an abundant number, since it is smaller than the sum of its proper divisors (3195047808).

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

1382516352 is a wasteful number, since it uses less digits than its factorization.

1382516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1176 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1382516352 is about 37182.2047759409. The cubic root of 1382516352 is about 1114.0125725551.

The spelling of 1382516352 in words is "one billion, three hundred eighty-two million, five hundred sixteen thousand, three hundred fifty-two".