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3683319696 = 243372997433
BaseRepresentation
bin1101101110001010…
…1111111110010000
3100111200211000202000
43123202233332100
530020412212241
61405254154000
7160163462250
oct33342577620
910450730660
103683319696
111620157671
12869652900
13469133514
1426d27b960
1516856deb6
hexdb8aff90

3683319696 has 320 divisors, whose sum is σ = 12657523200. Its totient is φ = 1003290624.

The previous prime is 3683319589. The next prime is 3683319709. The reversal of 3683319696 is 6969133863.

It is a happy number.

3683319696 is a `hidden beast` number, since 368 + 3 + 3 + 196 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 8506296 + ... + 8506728.

It is an arithmetic number, because the mean of its divisors is an integer number (39554760).

Almost surely, 23683319696 is an apocalyptic number.

3683319696 is a gapful number since it is divisible by the number (36) 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 3683319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328761600).

3683319696 is an abundant number, since it is smaller than the sum of its proper divisors (8974203504).

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

3683319696 is a wasteful number, since it uses less digits than its factorization.

3683319696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 571 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The square root of 3683319696 is about 60690.3591684874. The cubic root of 3683319696 is about 1544.3526291505.

The spelling of 3683319696 in words is "three billion, six hundred eighty-three million, three hundred nineteen thousand, six hundred ninety-six".