1003690638 has 96 divisors (see below), whose sum is σ = 2332193760. Its totient is φ = 311351040.

The previous prime is 1003690621. The next prime is 1003690643. The reversal of 1003690638 is 8360963001.

It is a happy number.

1003690638 is a `hidden beast` number, since 10 + 0 + 3 + 6 + 9 + 0 + 638 = 666.

It is a super-3 number, since 3×1003690638³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3032133 + ... + 3032463.

It is an arithmetic number, because the mean of its divisors is an integer number (24293685).

Almost surely, 2^1003690638 is an apocalyptic number.

1003690638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003690638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166096880).

1003690638 is an abundant number, since it is smaller than the sum of its proper divisors (1328503122).

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

1003690638 is a wasteful number, since it uses less digits than its factorization.

1003690638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1003690638 is about 31681.0769703304. The cubic root of 1003690638 is about 1001.2287023389.

The spelling of 1003690638 in words is "one billion, three million, six hundred ninety thousand, six hundred thirty-eight".