38493786240 has 1536 divisors, whose sum is σ = 177929256960. Its totient is φ = 7445053440.

The previous prime is 38493786223. The next prime is 38493786251. The reversal of 38493786240 is 4268739483.

38493786240 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 3 + 7 + 8 + 624 + 0 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 373726029 + ... + 373726131.

It is an arithmetic number, because the mean of its divisors is an integer number (115839360).

Almost surely, 2^38493786240 is an apocalyptic number.

38493786240 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 38493786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88964628480).

38493786240 is an abundant number, since it is smaller than the sum of its proper divisors (139435470720).

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

38493786240 is a wasteful number, since it uses less digits than its factorization.

38493786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38493786240 in words is "thirty-eight billion, four hundred ninety-three million, seven hundred eighty-six thousand, two hundred forty".