1352638224 has 160 divisors (see below), whose sum is σ = 4451143680. Its totient is φ = 385257600.

The previous prime is 1352638207. The next prime is 1352638249. The reversal of 1352638224 is 4228362531.

1352638224 is a `hidden beast` number, since 13 + 5 + 2 + 638 + 2 + 2 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1484329 + ... + 1485239.

It is an arithmetic number, because the mean of its divisors is an integer number (27819648).

Almost surely, 2^1352638224 is an apocalyptic number.

1352638224 is a gapful number since it is divisible by the number (14) 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 1352638224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225571840).

1352638224 is an abundant number, since it is smaller than the sum of its proper divisors (3098505456).

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

1352638224 is a wasteful number, since it uses less digits than its factorization.

1352638224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1352638224 is about 36778.2303000022. The cubic root of 1352638224 is about 1105.9289292884.

The spelling of 1352638224 in words is "one billion, three hundred fifty-two million, six hundred thirty-eight thousand, two hundred twenty-four".