38017980 has 288 divisors, whose sum is σ = 155570688. Its totient is φ = 7257600.

The previous prime is 38017963. The next prime is 38017999. The reversal of 38017980 is 8971083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180075 + ... + 180285.

It is an arithmetic number, because the mean of its divisors is an integer number (540176).

Almost surely, 2^38017980 is an apocalyptic number.

38017980 is a gapful number since it is divisible by the number (30) 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 38017980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77785344).

38017980 is an abundant number, since it is smaller than the sum of its proper divisors (117552708).

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

38017980 is a wasteful number, since it uses less digits than its factorization.

38017980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 38017980 is about 6165.8722010759. The cubic root of 38017980 is about 336.2505571592.

It can be divided in two parts, 3801 and 7980, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 38017980 in words is "thirty-eight million, seventeen thousand, nine hundred eighty".