38963940 has 96 divisors (see below), whose sum is σ = 114476544. Its totient is φ = 9891840.

The previous prime is 38963929. The next prime is 38963941. The reversal of 38963940 is 4936983.

It is a junction number, because it is equal to n+sod(n) for n = 38963892 and 38963901.

It is not an unprimeable number, because it can be changed into a prime (38963941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115452 + ... + 115788.

It is an arithmetic number, because the mean of its divisors is an integer number (1192464).

Almost surely, 2^38963940 is an apocalyptic number.

38963940 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 38963940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57238272).

38963940 is an abundant number, since it is smaller than the sum of its proper divisors (75512604).

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

38963940 is a wasteful number, since it uses less digits than its factorization.

38963940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 38963940 is about 6242.1102201099. The cubic root of 38963940 is about 339.0165931958.

It can be divided in two parts, 38963 and 940, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 38963940 in words is "thirty-eight million, nine hundred sixty-three thousand, nine hundred forty".