38332261074240 has 2240 divisors, whose sum is σ = 174636193881600. Its totient is φ = 7769482592256.

The previous prime is 38332261074227. The next prime is 38332261074251. The reversal of 38332261074240 is 4247016223383.

38332261074240 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 2 + 2 + 610 + 7 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11310786466 + ... + 11310789854.

Almost surely, 2^{38332261074240} is an apocalyptic number.

38332261074240 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 38332261074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87318096940800).

38332261074240 is an abundant number, since it is smaller than the sum of its proper divisors (136303932807360).

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

38332261074240 is a wasteful number, since it uses less digits than its factorization.

38332261074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 38332261074240 in words is "thirty-eight trillion, three hundred thirty-two billion, two hundred sixty-one million, seventy-four thousand, two hundred forty".