1338575004 has 192 divisors, whose sum is σ = 3973312000. Its totient is φ = 387384768.

The previous prime is 1338574997. The next prime is 1338575027. The reversal of 1338575004 is 4005758331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1338575004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9629967 + ... + 9630105.

Almost surely, 2^1338575004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338575004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986656000).

1338575004 is an abundant number, since it is smaller than the sum of its proper divisors (2634736996).

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

1338575004 is a wasteful number, since it uses less digits than its factorization.

1338575004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1338575004 is about 36586.5412959465. The cubic root of 1338575004 is about 1102.0828316652.

The spelling of 1338575004 in words is "one billion, three hundred thirty-eight million, five hundred seventy-five thousand, four".