38402760 has 128 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 9096960.

The previous prime is 38402737. The next prime is 38402761. The reversal of 38402760 is 6720483.

38402760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38402761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61731 + ... + 62349.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^38402760 is an apocalyptic number.

38402760 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 38402760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

38402760 is an abundant number, since it is smaller than the sum of its proper divisors (90160440).

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

38402760 is a wasteful number, since it uses less digits than its factorization.

38402760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38402760 is about 6196.9960464728. The cubic root of 38402760 is about 337.3811488234.

The spelling of 38402760 in words is "thirty-eight million, four hundred two thousand, seven hundred sixty".