1003652352 has 216 divisors, whose sum is σ = 3089792160. Its totient is φ = 312422400.

The previous prime is 1003652339. The next prime is 1003652359. The reversal of 1003652352 is 2532563001.

1003652352 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 652 + 3 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003652359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4421263 + ... + 4421489.

Almost surely, 2^1003652352 is an apocalyptic number.

1003652352 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 1003652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544896080).

1003652352 is an abundant number, since it is smaller than the sum of its proper divisors (2086139808).

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

1003652352 is a wasteful number, since it uses less digits than its factorization.

1003652352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1003652352 is about 31680.4727237458. The cubic root of 1003652352 is about 1001.2159714807.

It can be divided in two parts, 1003652 and 352, that added together give a square (1004004 = 1002²).

The spelling of 1003652352 in words is "one billion, three million, six hundred fifty-two thousand, three hundred fifty-two".