3926331288000 has 2688 divisors, whose sum is σ = 17517434388480. Its totient is φ = 827228160000.

The previous prime is 3926331287987. The next prime is 3926331288073. The reversal of 3926331288000 is 8821336293.

3926331288000 is a `hidden beast` number, since 3 + 9 + 2 + 633 + 1 + 2 + 8 + 8 + 0 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9599831796 + ... + 9599832204.

Almost surely, 2^{3926331288000} is an apocalyptic number.

3926331288000 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 3926331288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758717194240).

3926331288000 is an abundant number, since it is smaller than the sum of its proper divisors (13591103100480).

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

3926331288000 is a wasteful number, since it uses less digits than its factorization.

3926331288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3926331288000 in words is "three trillion, nine hundred twenty-six billion, three hundred thirty-one million, two hundred eighty-eight thousand".