3867924234240 has 1288 divisors, whose sum is σ = 15843595595328. Its totient is φ = 896909967360.

The previous prime is 3867924234191. The next prime is 3867924234313. The reversal of 3867924234240 is 424324297683.

3867924234240 is a `hidden beast` number, since 3 + 86 + 7 + 92 + 4 + 234 + 240 = 666.

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 55 ways as a sum of consecutive naturals, for example, 168170618869 + ... + 168170618891.

Almost surely, 2^{3867924234240} is an apocalyptic number.

3867924234240 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 3867924234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7921797797664).

3867924234240 is an abundant number, since it is smaller than the sum of its proper divisors (11975671361088).

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

3867924234240 is an frugal number, since it uses more digits than its factorization.

3867924234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3867924234240 in words is "three trillion, eight hundred sixty-seven billion, nine hundred twenty-four million, two hundred thirty-four thousand, two hundred forty".