3790263456000 has 1296 divisors, whose sum is σ = 16191773619840. Its totient is φ = 866010009600.

The previous prime is 3790263455903. The next prime is 3790263456013. The reversal of 3790263456000 is 6543620973.

3790263456000 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 2 + 6 + 34 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1469662711 + ... + 1469665289.

Almost surely, 2^{3790263456000} is an apocalyptic number.

3790263456000 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 3790263456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8095886809920).

3790263456000 is an abundant number, since it is smaller than the sum of its proper divisors (12401510163840).

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

3790263456000 is an frugal number, since it uses more digits than its factorization.

3790263456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3790263456000 in words is "three trillion, seven hundred ninety billion, two hundred sixty-three million, four hundred fifty-six thousand".