180400038 has 64 divisors (see below), whose sum is σ = 447444480. Its totient is φ = 47215872.

The previous prime is 180400019. The next prime is 180400057. The reversal of 180400038 is 830004081.

180400038 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180400019) and next prime (180400057).

It is a junction number, because it is equal to n+sod(n) for n = 180399990 and 180400017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74706 + ... + 77082.

It is an arithmetic number, because the mean of its divisors is an integer number (6991320).

Almost surely, 2^180400038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180400038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223722240).

180400038 is an abundant number, since it is smaller than the sum of its proper divisors (267044442).

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

180400038 is a wasteful number, since it uses less digits than its factorization.

180400038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180400038 is about 13431.3081269101. The cubic root of 180400038 is about 565.0395858134.

The spelling of 180400038 in words is "one hundred eighty million, four hundred thousand, thirty-eight".