38072483280 has 960 divisors, whose sum is σ = 155132070912. Its totient is φ = 8272281600.

The previous prime is 38072483237. The next prime is 38072483299. The reversal of 38072483280 is 8238427083.

38072483280 is a `hidden beast` number, since 3 + 80 + 7 + 248 + 328 + 0 = 666.

It is a super-3 number, since 3×38072483280³ (a number of 33 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 369635709 + ... + 369635811.

Almost surely, 2^38072483280 is an apocalyptic number.

38072483280 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 38072483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77566035456).

38072483280 is an abundant number, since it is smaller than the sum of its proper divisors (117059587632).

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

38072483280 is a wasteful number, since it uses less digits than its factorization.

38072483280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38072483280 in words is "thirty-eight billion, seventy-two million, four hundred eighty-three thousand, two hundred eighty".