3924530074080 has 1152 divisors, whose sum is σ = 17714130610176. Its totient is φ = 766004428800.

The previous prime is 3924530074079. The next prime is 3924530074093. The reversal of 3924530074080 is 804700354293.

3924530074080 is a `hidden beast` number, since 39 + 2 + 4 + 530 + 0 + 7 + 4 + 0 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1117779525 + ... + 1117783035.

It is an arithmetic number, because the mean of its divisors is an integer number (15376849488).

Almost surely, 2^{3924530074080} is an apocalyptic number.

3924530074080 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 3924530074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8857065305088).

3924530074080 is an abundant number, since it is smaller than the sum of its proper divisors (13789600536096).

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

3924530074080 is a wasteful number, since it uses less digits than its factorization.

3924530074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3924530074080 in words is "three trillion, nine hundred twenty-four billion, five hundred thirty million, seventy-four thousand, eighty".