38280713940 has 768 divisors, whose sum is σ = 147087360000. Its totient is φ = 8250439680.

The previous prime is 38280713903. The next prime is 38280713957. The reversal of 38280713940 is 4931708283.

It is a super-3 number, since 3×38280713940³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 338767324 + ... + 338767436.

It is an arithmetic number, because the mean of its divisors is an integer number (191520000).

Almost surely, 2^38280713940 is an apocalyptic number.

38280713940 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 38280713940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73543680000).

38280713940 is an abundant number, since it is smaller than the sum of its proper divisors (108806646060).

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

38280713940 is a wasteful number, since it uses less digits than its factorization.

38280713940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38280713940 in words is "thirty-eight billion, two hundred eighty million, seven hundred thirteen thousand, nine hundred forty".