1350385632 has 72 divisors (see below), whose sum is σ = 4042289160. Its totient is φ = 426435840.

The previous prime is 1350385571. The next prime is 1350385639. The reversal of 1350385632 is 2365830531.

1350385632 is a `hidden beast` number, since 13 + 5 + 0 + 3 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1350385632² = 3647082710224078848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350385639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117919 + ... + 128862.

It is an arithmetic number, because the mean of its divisors is an integer number (56142905).

Almost surely, 2^1350385632 is an apocalyptic number.

1350385632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1350385632 is an abundant number, since it is smaller than the sum of its proper divisors (2691903528).

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

1350385632 is a wasteful number, since it uses less digits than its factorization.

1350385632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246816 (or 246805 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1350385632 is about 36747.5935538642. The cubic root of 1350385632 is about 1105.3146751612.

The spelling of 1350385632 in words is "one billion, three hundred fifty million, three hundred eighty-five thousand, six hundred thirty-two".