38946960 has 320 divisors, whose sum is σ = 154156800. Its totient is φ = 8957952.

The previous prime is 38946883. The next prime is 38946967. The reversal of 38946960 is 6964983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38946967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533484 + ... + 533556.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 2^38946960 is an apocalyptic number.

38946960 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 38946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77078400).

38946960 is an abundant number, since it is smaller than the sum of its proper divisors (115209840).

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

38946960 is a wasteful number, since it uses less digits than its factorization.

38946960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38946960 is about 6240.7499549333. The cubic root of 38946960 is about 338.9673396368.

The spelling of 38946960 in words is "thirty-eight million, nine hundred forty-six thousand, nine hundred sixty".