38732353770240 has 1440 divisors, whose sum is σ = 152106491851776. Its totient is φ = 9353176842240.

The previous prime is 38732353770239. The next prime is 38732353770283. The reversal of 38732353770240 is 4207735323783.

38732353770240 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 23 + 5 + 377 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21723136389 + ... + 21723138171.

Almost surely, 2^{38732353770240} is an apocalyptic number.

38732353770240 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 38732353770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76053245925888).

38732353770240 is an abundant number, since it is smaller than the sum of its proper divisors (113374138081536).

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

38732353770240 is a wasteful number, since it uses less digits than its factorization.

38732353770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 38732353770240 in words is "thirty-eight trillion, seven hundred thirty-two billion, three hundred fifty-three million, seven hundred seventy thousand, two hundred forty".