3926470260960 has 1152 divisors, whose sum is σ = 16301268144000. Its totient is φ = 878213726208.

The previous prime is 3926470260919. The next prime is 3926470260967. The reversal of 3926470260960 is 690620746293.

3926470260960 is a `hidden beast` number, since 3 + 9 + 26 + 4 + 7 + 0 + 2 + 609 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3926470260897 and 3926470260906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926470260967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359923986 + ... + 359934894.

It is an arithmetic number, because the mean of its divisors is an integer number (14150406375).

Almost surely, 2^{3926470260960} is an apocalyptic number.

3926470260960 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 3926470260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150634072000).

3926470260960 is an abundant number, since it is smaller than the sum of its proper divisors (12374797883040).

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

3926470260960 is a wasteful number, since it uses less digits than its factorization.

3926470260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3926470260960 in words is "three trillion, nine hundred twenty-six billion, four hundred seventy million, two hundred sixty thousand, nine hundred sixty".