1038626640 has 240 divisors, whose sum is σ = 3832433280. Its totient is φ = 250905600.

The previous prime is 1038626639. The next prime is 1038626651. The reversal of 1038626640 is 466268301.

1038626640 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1038626595 and 1038626604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312990 + ... + 316290.

It is an arithmetic number, because the mean of its divisors is an integer number (15968472).

Almost surely, 2^1038626640 is an apocalyptic number.

1038626640 is a gapful number since it is divisible by the number (10) 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 1038626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916216640).

1038626640 is an abundant number, since it is smaller than the sum of its proper divisors (2793806640).

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

1038626640 is a wasteful number, since it uses less digits than its factorization.

1038626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1038626640 is about 32227.7309160915. The cubic root of 1038626640 is about 1012.7132353815.

The spelling of 1038626640 in words is "one billion, thirty-eight million, six hundred twenty-six thousand, six hundred forty".