1338045632 has 224 divisors, whose sum is σ = 3476183040. Its totient is φ = 496005120.

The previous prime is 1338045629. The next prime is 1338045637. The reversal of 1338045632 is 2365408331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1338045632² = 3580732226628558848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1338045592 and 1338045601.

It is not an unprimeable number, because it can be changed into a prime (1338045637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12275594 + ... + 12275702.

Almost surely, 2^1338045632 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 1338045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738091520).

1338045632 is an abundant number, since it is smaller than the sum of its proper divisors (2138137408).

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

1338045632 is a wasteful number, since it uses less digits than its factorization.

1338045632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 1338045632 is about 36579.3060623080. The cubic root of 1338045632 is about 1101.9375307006.

The spelling of 1338045632 in words is "one billion, three hundred thirty-eight million, forty-five thousand, six hundred thirty-two".