3926904371712 has 640 divisors, whose sum is σ = 13492836403200. Its totient is φ = 1104476110848.

The previous prime is 3926904371711. The next prime is 3926904371713. The reversal of 3926904371712 is 2171734096293.

3926904371712 is a `hidden beast` number, since 3 + 9 + 269 + 0 + 4 + 371 + 7 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3926904371711) and next prime (3926904371713).

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

It is not an unprimeable number, because it can be changed into a prime (3926904371711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787014464 + ... + 2787015872.

It is an arithmetic number, because the mean of its divisors is an integer number (21082556880).

Almost surely, 2^{3926904371712} is an apocalyptic number.

3926904371712 is a gapful number since it is divisible by the number (32) 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 3926904371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746418201600).

3926904371712 is an abundant number, since it is smaller than the sum of its proper divisors (9565932031488).

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

3926904371712 is a wasteful number, since it uses less digits than its factorization.

3926904371712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3926904371712 in words is "three trillion, nine hundred twenty-six billion, nine hundred four million, three hundred seventy-one thousand, seven hundred twelve".