3783662986896 has 405 divisors, whose sum is σ = 11819541971601. Its totient is φ = 1129377779712.

The previous prime is 3783662986877. The next prime is 3783662986907. The reversal of 3783662986896 is 6986892663873.

The square root of 3783662986896 is 1945164.

It is a perfect power (a square), and thus also a powerful number.

3783662986896 is a `hidden beast` number, since 3 + 78 + 366 + 29 + 86 + 8 + 96 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2540134688400 + 1243528298496 = 1593780^2 + 1115136^2 .

It is a super-2 number, since 2×3783662986896² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11227486440 + ... + 11227486776.

Almost surely, 2^{3783662986896} is an apocalyptic number.

3783662986896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3783662986896 is the 1945164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783662986896

3783662986896 is an abundant number, since it is smaller than the sum of its proper divisors (8035878984705).

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

3783662986896 is a wasteful number, since it uses less digits than its factorization.

3783662986896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 392 counting only the distinct ones).

The product of its digits is 6772211712, while the sum is 81.

Multiplying 3783662986896 by its sum of digits (81), we get a square (306476701938576 = 17506476²).

The spelling of 3783662986896 in words is "three trillion, seven hundred eighty-three billion, six hundred sixty-two million, nine hundred eighty-six thousand, eight hundred ninety-six".