38533098240 has 1296 divisors, whose sum is σ = 171756093600. Its totient is φ = 7902461952.

The previous prime is 38533098199. The next prime is 38533098251. The reversal of 38533098240 is 4289033583.

38533098240 is a `hidden beast` number, since 3 + 8 + 533 + 0 + 98 + 24 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 432956116 + ... + 432956204.

It is an arithmetic number, because the mean of its divisors is an integer number (132527850).

Almost surely, 2^38533098240 is an apocalyptic number.

38533098240 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 38533098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85878046800).

38533098240 is an abundant number, since it is smaller than the sum of its proper divisors (133222995360).

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

38533098240 is a wasteful number, since it uses less digits than its factorization.

38533098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38533098240 in words is "thirty-eight billion, five hundred thirty-three million, ninety-eight thousand, two hundred forty".