38652150277440 has 336 divisors, whose sum is σ = 151948327365120. Its totient is φ = 8834279178240.

The previous prime is 38652150277439. The next prime is 38652150277457. The reversal of 38652150277440 is 4477205125683.

38652150277440 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 21 + 502 + 7 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450916185 + ... + 451001895.

Almost surely, 2^{38652150277440} is an apocalyptic number.

38652150277440 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 38652150277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75974163682560).

38652150277440 is an abundant number, since it is smaller than the sum of its proper divisors (113296177087680).

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

38652150277440 is a wasteful number, since it uses less digits than its factorization.

38652150277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108110 (or 108097 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 38652150277440 in words is "thirty-eight trillion, six hundred fifty-two billion, one hundred fifty million, two hundred seventy-seven thousand, four hundred forty".