38453684640 has 288 divisors, whose sum is σ = 143054916480. Its totient is φ = 8505169920.

The previous prime is 38453684639. The next prime is 38453684657. The reversal of 38453684640 is 4648635483.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3223006 + ... + 3234914.

It is an arithmetic number, because the mean of its divisors is an integer number (496718460).

Almost surely, 2^38453684640 is an apocalyptic number.

38453684640 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 38453684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71527458240).

38453684640 is an abundant number, since it is smaller than the sum of its proper divisors (104601231840).

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

38453684640 is a wasteful number, since it uses less digits than its factorization.

38453684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 38453684640 in words is "thirty-eight billion, four hundred fifty-three million, six hundred eighty-four thousand, six hundred forty".